174:@0.067867:0.963104:0.109245:0.963104:0.109245:0.941283:0.067867:0.941283:0.000000:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB:@0.712944:0.243843:0.726371:0.243843:0.726371:0.232690:0.712944:0.232690:0.000000:0.000000
CA:@0.602803:0.275714:0.616711:0.275714:0.616711:0.264562:0.602803:0.264562:0.000000:0.000000
A:@0.583904:0.223735:0.590920:0.223735:0.590920:0.212583:0.583904:0.212583:0.000000
C:@0.649110:0.327813:0.655965:0.327813:0.655965:0.316661:0.649110:0.316661:0.000000
B:@0.852422:0.270968:0.858832:0.270968:0.858832:0.259815:0.852422:0.259815:0.000000
BC:@0.749666:0.307344:0.762932:0.307344:0.762932:0.296192:0.749666:0.296192:0.000000:0.000000
150º:@0.842651:0.289045:0.866046:0.289045:0.866046:0.277902:0.842651:0.277902:0.000000:0.000000:0.000000:0.000000
30º:@0.811895:0.278727:0.828953:0.278727:0.828953:0.267584:0.811895:0.267584:0.000000:0.000000:0.000000
80º:@0.626444:0.314909:0.643502:0.314909:0.643502:0.303766:0.626444:0.303766:0.000000:0.000000:0.000000
100º:@0.649122:0.310033:0.672517:0.310033:0.672517:0.298890:0.649122:0.298890:0.000000:0.000000:0.000000:0.000000
50º:@0.604804:0.237363:0.621862:0.237363:0.621862:0.226220:0.604804:0.226220:0.000000:0.000000:0.000000
130º:@0.594848:0.218303:0.618243:0.218303:0.618243:0.207160:0.594848:0.207160:0.000000:0.000000:0.000000:0.000000
α:@0.292595:0.723442:0.300991:0.723442:0.300991:0.710361:0.292595:0.710361:0.000000
β:@0.327547:0.692528:0.335819:0.692528:0.335819:0.679447:0.327547:0.679447:0.000000
Y:@0.512269:0.724549:0.520293:0.724549:0.520293:0.711468:0.512269:0.711468:0.000000
A:@0.316549:0.760763:0.325365:0.760763:0.325365:0.747682:0.316549:0.747682:0.000000
B:@0.360891:0.672189:0.368946:0.672189:0.368946:0.659108:0.360891:0.659108:0.000000
C:@0.513113:0.760763:0.521727:0.760763:0.521727:0.747682:0.513113:0.747682:0.000000
α:@0.486365:0.554945:0.492281:0.554945:0.492281:0.545071:0.486365:0.545071:0.000000
α:@0.496163:0.499543:0.502080:0.499543:0.502080:0.489669:0.496163:0.489669:0.000000
β:@0.456871:0.515934:0.462699:0.515934:0.462699:0.506060:0.456871:0.506060:0.000000
Y:@0.419688:0.498156:0.425342:0.498156:0.425342:0.488282:0.419688:0.488282:0.000000
Y:@0.351798:0.561421:0.357452:0.561421:0.357452:0.551547:0.351798:0.551547:0.000000
A:@0.309039:0.578966:0.317321:0.578966:0.317321:0.565801:0.309039:0.565801:0.000000
B:@0.462406:0.476883:0.469973:0.476883:0.469973:0.463718:0.462406:0.463718:0.000000
C:@0.526840:0.578966:0.534933:0.578966:0.534933:0.565801:0.526840:0.565801:0.000000
Demostración de teoremas:@0.287495:0.342075:0.560654:0.342075:0.560654:0.320565:0.287495:0.320565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) Teorema: :@0.287495:0.371985:0.393196:0.371985:0.393196:0.355084:0.287495:0.355084:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de las medidas de los ángulos interiores de un triángulo:@0.393196:0.371985:0.863442:0.371985:0.863442:0.355596:0.393196:0.355596:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a 180°.:@0.315985:0.388581:0.423805:0.388581:0.423805:0.372193:0.315985:0.372193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       :@0.287495:0.414818:0.314197:0.414818:0.314197:0.397917:0.287495:0.397917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mABC mBCA mCAB:@0.316812:0.411048:0.517637:0.411048:0.517637:0.394687:0.316812:0.394687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180:@0.533650:0.411048:0.560223:0.411048:0.560223:0.394659:0.533650:0.394659:0.000000:0.000000:0.000000
:@0.331057:0.411919:0.271867:0.411919:0.271867:0.395171:0.331057:0.395171:0.000000
:@0.404399:0.411919:0.345209:0.411919:0.345209:0.395171:0.404399:0.395171:0.000000
:@0.475806:0.411919:0.489958:0.411919:0.489958:0.395171:0.475806:0.395171:0.000000
+:@0.377273:0.411726:0.387390:0.411726:0.387390:0.396153:0.377273:0.396153:0.000000
+:@0.448680:0.411726:0.458797:0.411726:0.458797:0.396153:0.448680:0.396153:0.000000
=:@0.521396:0.411726:0.531513:0.411726:0.531513:0.396153:0.521396:0.396153:0.000000
°:@0.560038:0.411726:0.567410:0.411726:0.567410:0.396153:0.560038:0.396153:0.000000
Demostración::@0.287495:0.438544:0.403792:0.438544:0.403792:0.421643:0.287495:0.421643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se traza una recta paralela al segmento AC, que pase por el vértice B.:@0.287495:0.458709:0.789919:0.458709:0.789919:0.442320:0.287495:0.442320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se forman tres ángulos::@0.587755:0.482428:0.759278:0.482428:0.759278:0.466039:0.587755:0.466039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1) :@0.587755:0.506147:0.610550:0.506147:0.610550:0.489758:0.587755:0.489758:0.000000:0.000000:0.000000:0.000000
m:@0.614201:0.506154:0.628832:0.506154:0.628832:0.489793:0.614201:0.489793:0.000000
m ABCm:@0.669963:0.506154:0.757918:0.506154:0.757918:0.489793:0.669963:0.489793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180 , un án­:@0.796210:0.506154:0.885840:0.506154:0.885840:0.489765:0.796210:0.489765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.628427:0.507025:0.586817:0.507025:0.586817:0.490277:0.628427:0.490277:0.000000
:@0.684189:0.507025:0.642579:0.507025:0.642579:0.490277:0.684189:0.490277:0.000000
:@0.757531:0.507025:0.771683:0.507025:0.771683:0.490277:0.757531:0.490277:0.000000
α+:@0.642261:0.506832:0.667194:0.506832:0.667194:0.491259:0.642261:0.491259:0.000000:0.000000
+:@0.730419:0.506832:0.740536:0.506832:0.740536:0.491259:0.730419:0.491259:0.000000
γ =:@0.771365:0.506832:0.794093:0.506832:0.794093:0.491259:0.771365:0.491259:0.000000:0.000000:0.000000
°:@0.822619:0.506832:0.829990:0.506832:0.829990:0.491259:0.822619:0.491259:0.000000
gulo llano.:@0.587745:0.522751:0.664034:0.522751:0.664034:0.506362:0.587745:0.506362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(2)  :@0.587745:0.546470:0.614576:0.546470:0.614576:0.530081:0.587745:0.530081:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.617193:0.546475:0.631824:0.546475:0.631824:0.530113:0.617193:0.530113:0.000000
m CAB:@0.673673:0.546475:0.729804:0.546475:0.729804:0.530113:0.673673:0.530113:0.000000:0.000000:0.000000:0.000000:0.000000
γ=:@0.645313:0.547152:0.670725:0.547152:0.670725:0.531579:0.645313:0.531579:0.000000:0.000000
:@0.631492:0.547346:0.589164:0.547346:0.589164:0.530597:0.631492:0.530597:0.000000
:@0.687973:0.547346:0.645645:0.547346:0.645645:0.530597:0.687973:0.530597:0.000000
m:@0.590548:0.562942:0.606210:0.562942:0.606210:0.545429:0.590548:0.545429:0.000000
m BCA:@0.650671:0.562942:0.711030:0.562942:0.711030:0.545429:0.650671:0.545429:0.000000:0.000000:0.000000:0.000000:0.000000
α=:@0.620640:0.563668:0.647506:0.563668:0.647506:0.546998:0.620640:0.546998:0.000000:0.000000
:@0.605846:0.563875:0.560873:0.563875:0.560873:0.545947:0.605846:0.545947:0.000000
:@0.665969:0.563875:0.620995:0.563875:0.620995:0.545947:0.665969:0.545947:0.000000
 por ángulos alternos:@0.715064:0.563071:0.870130:0.563071:0.870130:0.546682:0.715064:0.546682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
internos.:@0.587747:0.579667:0.651118:0.579667:0.651118:0.563278:0.587747:0.563278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reemplazamos en (1) las igualdades (2):  :@0.287487:0.606830:0.586955:0.606830:0.586955:0.590441:0.287487:0.590441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mCAB mABC mBCA:@0.592299:0.606222:0.794192:0.606222:0.794192:0.590828:0.592299:0.590828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180:@0.809137:0.606222:0.835709:0.606222:0.835709:0.590552:0.809137:0.590552:0.000000:0.000000:0.000000
:@0.606543:0.607093:0.547354:0.607093:0.547354:0.590344:0.606543:0.590344:0.000000
:@0.679885:0.607093:0.620696:0.607093:0.620696:0.590344:0.679885:0.590344:0.000000
:@0.751292:0.607093:0.765445:0.607093:0.765445:0.590344:0.751292:0.590344:0.000000
+:@0.652760:0.606816:0.591469:0.606816:0.591469:0.588795:0.652760:0.588795:0.000000
+:@0.724167:0.606816:0.662876:0.606816:0.662876:0.588795:0.724167:0.588795:0.000000
=:@0.796887:0.606824:0.768361:0.606824:0.768361:0.588803:0.796887:0.588803:0.000000
°:@0.835530:0.606824:0.807004:0.606824:0.807004:0.588803:0.835530:0.588803:0.000000
     :@0.859124:0.606834:0.879302:0.606834:0.879302:0.590445:0.859124:0.590445:0.000000:0.000000:0.000000:0.000000:0.000000
b) Teorema: :@0.287499:0.637689:0.393200:0.637689:0.393200:0.620789:0.287499:0.620789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de las medidas de los ángulos externos de un triángulo:@0.393200:0.637689:0.858656:0.637689:0.858656:0.621300:0.393200:0.621300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a 360°.:@0.315988:0.654286:0.423808:0.654286:0.423808:0.637897:0.315988:0.637897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el triángulo se han formado los ángulos :@0.556708:0.676912:0.889917:0.676912:0.889917:0.660523:0.556708:0.660523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABC:@0.573514:0.694767:0.601801:0.694767:0.601801:0.678406:0.573514:0.678406:0.000000:0.000000:0.000000
BCA:@0.622458:0.694767:0.650726:0.694767:0.650726:0.678406:0.622458:0.678406:0.000000:0.000000:0.000000
CAB:@0.685167:0.694767:0.713182:0.694767:0.713182:0.678406:0.685167:0.678406:0.000000:0.000000:0.000000
;:@0.603722:0.694767:0.606928:0.694767:0.606928:0.678378:0.603722:0.678378:0.000000
y:@0.656646:0.694767:0.664754:0.694767:0.664754:0.678378:0.656646:0.678378:0.000000
:@0.559692:0.695638:0.524900:0.695638:0.524900:0.678890:0.559692:0.678890:0.000000
:@0.608636:0.695638:0.573844:0.695638:0.573844:0.678890:0.608636:0.678890:0.000000
:@0.671363:0.695638:0.685516:0.695638:0.685516:0.678890:0.671363:0.678890:0.000000
.:@0.714152:0.696025:0.717359:0.696025:0.717359:0.679637:0.714152:0.679637:0.000000
Prolongamos los lados; se forman los :@0.556725:0.719744:0.830998:0.719744:0.830998:0.703356:0.556725:0.703356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulos :@0.556725:0.738858:0.619397:0.738858:0.619397:0.722469:0.556725:0.722469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;:@0.648826:0.737599:0.652033:0.737599:0.652033:0.721210:0.648826:0.721210:0.000000
y:@0.684170:0.737599:0.692279:0.737599:0.692279:0.721210:0.684170:0.721210:0.000000
:@0.622383:0.738471:0.667899:0.738471:0.667899:0.721722:0.622383:0.721722:0.000000:0.000000
:@0.698876:0.738471:0.713028:0.738471:0.713028:0.721722:0.698876:0.721722:0.000000
α:@0.636203:0.738277:0.647831:0.738277:0.647831:0.722704:0.636203:0.722704:0.000000
β:@0.667567:0.738277:0.677684:0.738277:0.677684:0.722704:0.667567:0.722704:0.000000
γ:@0.712696:0.738277:0.720270:0.738277:0.720270:0.722704:0.712696:0.722704:0.000000
por demostrar que::@0.724951:0.738858:0.866014:0.738858:0.866014:0.722469:0.724951:0.722469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.559325:0.762584:0.573956:0.762584:0.573956:0.746223:0.559325:0.746223:0.000000
m:@0.615087:0.762584:0.629718:0.762584:0.629718:0.746223:0.615087:0.746223:0.000000
m:@0.668896:0.762584:0.683527:0.762584:0.683527:0.746223:0.668896:0.746223:0.000000
360:@0.722981:0.762584:0.749553:0.762584:0.749553:0.746196:0.722981:0.746196:0.000000:0.000000:0.000000
:@0.573564:0.763456:0.531955:0.763456:0.531955:0.746707:0.573564:0.746707:0.000000
:@0.629326:0.763456:0.587717:0.763456:0.587717:0.746707:0.629326:0.746707:0.000000
:@0.683135:0.763456:0.697288:0.763456:0.697288:0.746707:0.683135:0.746707:0.000000
α+:@0.587385:0.763262:0.612318:0.763262:0.612318:0.747689:0.587385:0.747689:0.000000:0.000000
β+:@0.643147:0.763262:0.666145:0.763262:0.666145:0.747689:0.643147:0.747689:0.000000:0.000000
γ=:@0.696956:0.763262:0.719696:0.763262:0.719696:0.747689:0.696956:0.747689:0.000000:0.000000
°:@0.749364:0.763262:0.756735:0.763262:0.756735:0.747689:0.749364:0.747689:0.000000
Demostración::@0.287494:0.789028:0.403791:0.789028:0.403791:0.772127:0.287494:0.772127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.290110:0.810188:0.304742:0.810188:0.304742:0.793827:0.290110:0.793827:0.000000
m BAC:@0.345873:0.810188:0.402206:0.810188:0.402206:0.793827:0.345873:0.793827:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.471660:0.810188:0.486291:0.810188:0.486291:0.793827:0.471660:0.793827:0.000000
mABC:@0.525468:0.810188:0.581820:0.810188:0.581820:0.793827:0.525468:0.793827:0.000000:0.000000:0.000000:0.000000
m:@0.651274:0.810188:0.665905:0.810188:0.665905:0.793827:0.651274:0.793827:0.000000
m BCA:@0.704308:0.810188:0.760642:0.810188:0.760642:0.793827:0.704308:0.793827:0.000000:0.000000:0.000000:0.000000:0.000000
180:@0.419104:0.810188:0.445677:0.810188:0.445677:0.793799:0.419104:0.793799:0.000000:0.000000:0.000000
180:@0.598718:0.810188:0.625291:0.810188:0.625291:0.793799:0.598718:0.793799:0.000000:0.000000:0.000000
180:@0.775605:0.810188:0.802178:0.810188:0.802178:0.793799:0.775605:0.793799:0.000000:0.000000:0.000000
:@0.304337:0.811060:0.262727:0.811060:0.262727:0.794311:0.304337:0.794311:0.000000
:@0.360099:0.811060:0.318489:0.811060:0.318489:0.794311:0.360099:0.794311:0.000000
:@0.485886:0.811060:0.446211:0.811060:0.446211:0.794311:0.485886:0.794311:0.000000
:@0.539713:0.811060:0.500038:0.811060:0.500038:0.794311:0.539713:0.794311:0.000000
:@0.665500:0.811060:0.626618:0.811060:0.626618:0.794311:0.665500:0.794311:0.000000
:@0.718535:0.811060:0.679652:0.811060:0.679652:0.794311:0.718535:0.794311:0.000000
α+:@0.318157:0.810866:0.343090:0.810866:0.343090:0.795293:0.318157:0.795293:0.000000:0.000000
=:@0.406831:0.810866:0.416948:0.810866:0.416948:0.795293:0.406831:0.795293:0.000000
°:@0.445474:0.810866:0.452845:0.810866:0.452845:0.795293:0.445474:0.795293:0.000000
β+:@0.499706:0.810866:0.522704:0.810866:0.522704:0.795293:0.499706:0.795293:0.000000:0.000000
=:@0.586445:0.810866:0.596562:0.810866:0.596562:0.795293:0.586445:0.795293:0.000000
°:@0.625088:0.810866:0.632459:0.810866:0.632459:0.795293:0.625088:0.795293:0.000000
γ+:@0.679321:0.810866:0.701526:0.810866:0.701526:0.795293:0.679321:0.795293:0.000000:0.000000
=:@0.763367:0.810875:0.773484:0.810875:0.773484:0.795302:0.763367:0.795302:0.000000
°:@0.802010:0.810875:0.809381:0.810875:0.809381:0.795302:0.802010:0.795302:0.000000
(1) :@0.287495:0.833670:0.310290:0.833670:0.310290:0.817281:0.287495:0.817281:0.000000:0.000000:0.000000:0.000000
m:@0.312907:0.833670:0.327539:0.833670:0.327539:0.817309:0.312907:0.817309:0.000000
m:@0.368669:0.833670:0.383301:0.833670:0.383301:0.817309:0.368669:0.817309:0.000000
m:@0.422478:0.833670:0.437109:0.833670:0.437109:0.817309:0.422478:0.817309:0.000000
m ABCm BCAm CAB:@0.475513:0.833670:0.676337:0.833670:0.676337:0.817309:0.475513:0.817309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
180:@0.692351:0.833670:0.718923:0.833670:0.718923:0.817281:0.692351:0.817281:0.000000:0.000000:0.000000
180:@0.740244:0.833670:0.766817:0.833670:0.766817:0.817281:0.740244:0.817281:0.000000:0.000000:0.000000
180:@0.788137:0.833670:0.814710:0.833670:0.814710:0.817281:0.788137:0.817281:0.000000:0.000000:0.000000
:@0.327133:0.834541:0.285524:0.834541:0.285524:0.817793:0.327133:0.817793:0.000000
:@0.382895:0.834541:0.341286:0.834541:0.341286:0.817793:0.382895:0.817793:0.000000
:@0.436704:0.834541:0.397822:0.834541:0.397822:0.817793:0.436704:0.817793:0.000000
:@0.489739:0.834541:0.450856:0.834541:0.450856:0.817793:0.489739:0.817793:0.000000
:@0.563081:0.834541:0.505826:0.834541:0.505826:0.817793:0.563081:0.817793:0.000000
:@0.634488:0.834541:0.577233:0.834541:0.577233:0.817793:0.634488:0.817793:0.000000
α+:@0.340954:0.834347:0.365887:0.834347:0.365887:0.818775:0.340954:0.818775:0.000000:0.000000
β+:@0.396716:0.834347:0.419714:0.834347:0.419714:0.818775:0.396716:0.818775:0.000000:0.000000
γ+:@0.450525:0.834347:0.472730:0.834347:0.472730:0.818775:0.450525:0.818775:0.000000:0.000000
+:@0.535955:0.834347:0.546072:0.834347:0.546072:0.818775:0.535955:0.818775:0.000000
+:@0.607362:0.834347:0.617479:0.834347:0.617479:0.818775:0.607362:0.818775:0.000000
=:@0.680078:0.834347:0.690195:0.834347:0.690195:0.818775:0.680078:0.818775:0.000000
°+:@0.718721:0.834347:0.738622:0.834347:0.738622:0.818775:0.718721:0.818775:0.000000:0.000000
°+:@0.766614:0.834347:0.786541:0.834347:0.786541:0.818775:0.766614:0.818775:0.000000:0.000000
°:@0.814533:0.834347:0.821904:0.834347:0.821904:0.818775:0.814533:0.818775:0.000000
(2) :@0.287495:0.855886:0.310290:0.855886:0.310290:0.839497:0.287495:0.839497:0.000000:0.000000:0.000000:0.000000
m:@0.312907:0.855886:0.327539:0.855886:0.327539:0.839525:0.312907:0.839525:0.000000
m:@0.368669:0.855886:0.383301:0.855886:0.383301:0.839525:0.368669:0.839525:0.000000
m:@0.422478:0.855886:0.437109:0.855886:0.437109:0.839525:0.422478:0.839525:0.000000
180:@0.474358:0.855886:0.500931:0.855886:0.500931:0.839497:0.474358:0.839497:0.000000:0.000000:0.000000
540:@0.524463:0.855886:0.551036:0.855886:0.551036:0.839497:0.524463:0.839497:0.000000:0.000000:0.000000
:@0.327147:0.856758:0.285537:0.856758:0.285537:0.840009:0.327147:0.840009:0.000000
:@0.382909:0.856758:0.341299:0.856758:0.341299:0.840009:0.382909:0.840009:0.000000
:@0.436717:0.856758:0.450870:0.856758:0.450870:0.840009:0.436717:0.840009:0.000000
α+:@0.340967:0.856564:0.365900:0.856564:0.365900:0.840991:0.340967:0.840991:0.000000:0.000000
β+:@0.396729:0.856564:0.419727:0.856564:0.419727:0.840991:0.396729:0.840991:0.000000:0.000000
γ+:@0.450538:0.856564:0.472743:0.856564:0.472743:0.840991:0.450538:0.840991:0.000000:0.000000
°=:@0.500735:0.856564:0.521171:0.856564:0.521171:0.840991:0.500735:0.840991:0.000000:0.000000
°:@0.550840:0.856564:0.558211:0.856564:0.558211:0.840991:0.550840:0.840991:0.000000
Reemplazamos este valor en (1) y sumamos los ángulos del segundo miembro:@0.287490:0.879605:0.885891:0.879605:0.885891:0.863216:0.287490:0.863216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la igualdad; tenemos::@0.287490:0.896202:0.466697:0.896202:0.466697:0.879813:0.287490:0.879813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.350421:0.919945:0.365052:0.919945:0.365052:0.903584:0.350421:0.903584:0.000000
m:@0.406183:0.919945:0.420814:0.919945:0.420814:0.903584:0.406183:0.903584:0.000000
m:@0.459992:0.919945:0.474623:0.919945:0.474623:0.903584:0.459992:0.903584:0.000000
m:@0.350421:0.940691:0.365052:0.940691:0.365052:0.924329:0.350421:0.924329:0.000000
m:@0.406183:0.940691:0.420814:0.940691:0.420814:0.924329:0.406183:0.924329:0.000000
m:@0.459992:0.940691:0.474623:0.940691:0.474623:0.924329:0.459992:0.924329:0.000000
540:@0.514077:0.919945:0.540649:0.919945:0.540649:0.903556:0.514077:0.903556:0.000000:0.000000:0.000000
180:@0.561970:0.919945:0.588543:0.919945:0.588543:0.903556:0.561970:0.903556:0.000000:0.000000:0.000000
360:@0.514077:0.940691:0.540649:0.940691:0.540649:0.924302:0.514077:0.924302:0.000000:0.000000:0.000000
:@0.364660:0.920817:0.323051:0.920817:0.323051:0.904068:0.364660:0.904068:0.000000
:@0.420422:0.920817:0.378813:0.920817:0.378813:0.904068:0.420422:0.904068:0.000000
:@0.474231:0.920817:0.488383:0.920817:0.488383:0.904068:0.474231:0.904068:0.000000
:@0.364660:0.941562:0.323051:0.941562:0.323051:0.924814:0.364660:0.924814:0.000000
:@0.420422:0.941562:0.378813:0.941562:0.378813:0.924814:0.420422:0.924814:0.000000
:@0.474231:0.941562:0.488383:0.941562:0.488383:0.924814:0.474231:0.924814:0.000000
α+:@0.378481:0.920623:0.403414:0.920623:0.403414:0.905050:0.378481:0.905050:0.000000:0.000000
β+:@0.434243:0.920623:0.457241:0.920623:0.457241:0.905050:0.434243:0.905050:0.000000:0.000000
γ=:@0.488052:0.920623:0.510791:0.920623:0.510791:0.905050:0.488052:0.905050:0.000000:0.000000
°−:@0.540460:0.920623:0.560362:0.920623:0.560362:0.905050:0.540460:0.905050:0.000000:0.000000
°:@0.588353:0.920623:0.595724:0.920623:0.595724:0.905050:0.588353:0.905050:0.000000
α+:@0.378481:0.941368:0.403414:0.941368:0.403414:0.925795:0.378481:0.925795:0.000000:0.000000
β+:@0.434243:0.941368:0.457241:0.941368:0.457241:0.925795:0.434243:0.925795:0.000000:0.000000
γ=:@0.488052:0.941368:0.510791:0.941368:0.510791:0.925795:0.488052:0.925795:0.000000:0.000000
°:@0.540460:0.941368:0.547831:0.941368:0.547831:0.925795:0.540460:0.925795:0.000000
         :@0.599090:0.927223:0.634674:0.927223:0.634674:0.910834:0.599090:0.910834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.637163:0.898572:0.651795:0.898572:0.651795:0.882210:0.637163:0.882210:0.000000
m:@0.692925:0.898572:0.707557:0.898572:0.707557:0.882210:0.692925:0.882210:0.000000
m:@0.746734:0.898572:0.761365:0.898572:0.761365:0.882210:0.746734:0.882210:0.000000
m:@0.637163:0.919317:0.651795:0.919317:0.651795:0.902956:0.637163:0.902956:0.000000
m:@0.692925:0.919317:0.707557:0.919317:0.707557:0.902956:0.692925:0.902956:0.000000
m:@0.746734:0.919317:0.761365:0.919317:0.761365:0.902956:0.746734:0.902956:0.000000
540:@0.800819:0.898572:0.827392:0.898572:0.827392:0.882183:0.800819:0.882183:0.000000:0.000000:0.000000
180:@0.848712:0.898572:0.875285:0.898572:0.875285:0.882183:0.848712:0.882183:0.000000:0.000000:0.000000
360:@0.800819:0.919317:0.827392:0.919317:0.827392:0.902928:0.800819:0.902928:0.000000:0.000000:0.000000
:@0.651408:0.899443:0.609798:0.899443:0.609798:0.882694:0.651408:0.882694:0.000000
:@0.707170:0.899443:0.665560:0.899443:0.665560:0.882694:0.707170:0.882694:0.000000
:@0.760978:0.899443:0.775131:0.899443:0.775131:0.882694:0.760978:0.882694:0.000000
:@0.651408:0.920188:0.609798:0.920188:0.609798:0.903440:0.651408:0.903440:0.000000
:@0.707170:0.920188:0.665560:0.920188:0.665560:0.903440:0.707170:0.903440:0.000000
:@0.760978:0.920188:0.775131:0.920188:0.775131:0.903440:0.760978:0.903440:0.000000
α+:@0.665228:0.899249:0.690161:0.899249:0.690161:0.883676:0.665228:0.883676:0.000000:0.000000
β+:@0.720991:0.899249:0.743988:0.899249:0.743988:0.883676:0.720991:0.883676:0.000000:0.000000
γ=:@0.774799:0.899249:0.797539:0.899249:0.797539:0.883676:0.774799:0.883676:0.000000:0.000000
°−:@0.827207:0.899249:0.847109:0.899249:0.847109:0.883676:0.827207:0.883676:0.000000:0.000000
°:@0.875101:0.899249:0.882472:0.899249:0.882472:0.883676:0.875101:0.883676:0.000000
α+:@0.665223:0.919994:0.690156:0.919994:0.690156:0.904421:0.665223:0.904421:0.000000:0.000000
β+:@0.720985:0.919994:0.743983:0.919994:0.743983:0.904421:0.720985:0.904421:0.000000:0.000000
γ=:@0.774794:0.919994:0.797534:0.919994:0.797534:0.904421:0.774794:0.904421:0.000000:0.000000
°:@0.827202:0.919994:0.834573:0.919994:0.834573:0.904421:0.827202:0.904421:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Triángulos, construcción :@0.286308:0.063945:0.721133:0.063945:0.721133:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y  teoremas:@0.286308:0.094120:0.486934:0.094120:0.486934:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la vida cotidiana, los triángulos tienen muchas aplicaciones: construcción de :@0.287495:0.151193:0.889856:0.151193:0.889856:0.134804:0.287495:0.134804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
edificios y estructuras, herramientas, señales de tránsito, etc. :@0.287495:0.167789:0.723348:0.167789:0.723348:0.151400:0.287495:0.151400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A los:@0.287495:0.191508:0.322895:0.191508:0.322895:0.175119:0.287495:0.175119:0.000000:0.000000:0.000000:0.000000:0.000000
 vértices:@0.322895:0.191508:0.388809:0.191508:0.388809:0.174608:0.322895:0.174608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 del triángulo se los nombra con  ,   y  .:@0.388809:0.191508:0.685123:0.191508:0.685123:0.175119:0.388809:0.175119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A B C:@0.629840:0.191508:0.681917:0.191508:0.681917:0.175147:0.629840:0.175147:0.000000:0.000000:0.000000:0.000000:0.000000
Los :@0.287495:0.215227:0.316150:0.215227:0.316150:0.198838:0.287495:0.198838:0.000000:0.000000:0.000000:0.000000
lados:@0.316150:0.215227:0.359032:0.215227:0.359032:0.198327:0.316150:0.198327:0.000000:0.000000:0.000000:0.000000:0.000000
 son los segmentos :@0.359032:0.215227:0.504166:0.215227:0.504166:0.198838:0.359032:0.198838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB BC:@0.291578:0.234350:0.346769:0.234350:0.346769:0.217988:0.291578:0.217988:0.000000:0.000000:0.000000:0.000000:0.000000
CA:@0.365712:0.234350:0.385190:0.234350:0.385190:0.217988:0.365712:0.217988:0.000000:0.000000
;:@0.311056:0.234350:0.314262:0.234350:0.314262:0.217961:0.311056:0.217961:0.000000
;:@0.348704:0.234350:0.351910:0.234350:0.351910:0.217961:0.348704:0.217961:0.000000
.:@0.388010:0.233091:0.391216:0.233091:0.391216:0.216702:0.388010:0.216702:0.000000
Los :@0.287487:0.256810:0.316142:0.256810:0.316142:0.240421:0.287487:0.240421:0.000000:0.000000:0.000000:0.000000
ángulos:@0.316142:0.256810:0.379902:0.256810:0.379902:0.239909:0.316142:0.239909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 son: :@0.379902:0.256810:0.417734:0.256810:0.417734:0.240421:0.379902:0.240421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
CAB:@0.306059:0.275091:0.337000:0.275091:0.337000:0.257017:0.306059:0.257017:0.000000:0.000000:0.000000
BCA:@0.358863:0.275091:0.390089:0.275091:0.390089:0.257017:0.358863:0.257017:0.000000:0.000000:0.000000
ABC:@0.410791:0.275091:0.442038:0.275091:0.442038:0.257017:0.410791:0.257017:0.000000:0.000000:0.000000
;:@0.338160:0.275091:0.341702:0.275091:0.341702:0.256987:0.338160:0.256987:0.000000
;:@0.390089:0.275091:0.393631:0.275091:0.393631:0.256987:0.390089:0.256987:0.000000
:@0.290792:0.276053:0.253621:0.276053:0.253621:0.257552:0.290792:0.257552:0.000000
:@0.343596:0.276053:0.306425:0.276053:0.306425:0.257552:0.343596:0.257552:0.000000
:@0.395524:0.276053:0.411158:0.276053:0.411158:0.257552:0.395524:0.257552:0.000000
.:@0.446643:0.273413:0.449850:0.273413:0.449850:0.257024:0.446643:0.257024:0.000000
©Shutterstock:@0.071982:0.646181:0.071982:0.603356:0.060071:0.603356:0.060071:0.646181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e:@0.148261:0.582889:0.245944:0.582889:0.245944:0.567524:0.148261:0.567524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniería civil:@0.140170:0.597976:0.245944:0.597976:0.245944:0.582612:0.140170:0.582612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La construcción de :@0.119296:0.703589:0.249613:0.703589:0.249613:0.688690:0.119296:0.688690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulos con regla y :@0.102008:0.718677:0.249612:0.718677:0.249612:0.703778:0.102008:0.703778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compás permite crear :@0.099646:0.733765:0.249612:0.733765:0.249612:0.718866:0.099646:0.718866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vigas reticuladas o :@0.123602:0.748852:0.249613:0.748852:0.249613:0.733953:0.123602:0.733953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arriostradas, que son :@0.108558:0.763940:0.249612:0.763940:0.249612:0.749041:0.108558:0.749041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizadas en grandes :@0.105559:0.779027:0.249612:0.779027:0.249612:0.764128:0.105559:0.764128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
edificaciones para lograr :@0.083329:0.794115:0.249612:0.794115:0.249612:0.779216:0.083329:0.779216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
zonas voladas sin pilares y :@0.073277:0.809203:0.249612:0.809203:0.249612:0.794304:0.073277:0.794304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una resistencia superior a :@0.077281:0.824290:0.249610:0.824290:0.249610:0.809391:0.077281:0.809391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las vigas macizas. Esta :@0.101019:0.839378:0.249612:0.839378:0.249612:0.824479:0.101019:0.824479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
técnica de construcción :@0.086177:0.854466:0.249613:0.854466:0.249613:0.839567:0.086177:0.839567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con triángulos facilita la :@0.088572:0.869553:0.249613:0.869553:0.249613:0.854654:0.088572:0.854654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creación de estructuras :@0.090633:0.884641:0.249612:0.884641:0.249612:0.869742:0.090633:0.869742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ligeras y resistentes.:@0.114907:0.899728:0.245941:0.899728:0.245941:0.884829:0.114907:0.884829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.091316:0.553730:0.248522:0.553730:0.248522:0.536830:0.091316:0.536830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
B:@0.199316:0.383012:0.206553:0.383012:0.206553:0.369625:0.199316:0.369625:0.000000
A:@0.079407:0.432020:0.087504:0.432020:0.087504:0.418633:0.079407:0.418633:0.000000
C:@0.242044:0.432020:0.250156:0.432020:0.250156:0.418633:0.242044:0.418633:0.000000
En cualquier triángulo, :@0.095160:0.200196:0.248426:0.200196:0.248426:0.185297:0.095160:0.185297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de las longitudes :@0.076330:0.215284:0.248424:0.215284:0.248424:0.200385:0.076330:0.200385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de dos de sus lados es :@0.096467:0.230371:0.248427:0.230371:0.248427:0.215472:0.096467:0.215472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor que la longitud del :@0.072594:0.245459:0.248426:0.245459:0.248426:0.230560:0.072594:0.230560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tercer lado.:@0.170797:0.260547:0.244757:0.260547:0.244757:0.245648:0.170797:0.245648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si dos lados de un :@0.123991:0.279192:0.248427:0.279192:0.248427:0.264293:0.123991:0.264293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo no son iguales, :@0.081155:0.294280:0.248424:0.294280:0.248424:0.279381:0.081155:0.279381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus ángulos opuestos a :@0.089782:0.309368:0.248424:0.309368:0.248424:0.294469:0.089782:0.294469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ellos tampoco lo son. :@0.102799:0.324455:0.248427:0.324455:0.248427:0.309556:0.102799:0.309556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El ángulo de mayor :@0.115816:0.339543:0.248426:0.339543:0.248426:0.324644:0.115816:0.324644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medida se opone al lado :@0.080016:0.354631:0.248427:0.354631:0.248427:0.339732:0.080016:0.339732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mayor y viceversa.:@0.123689:0.369718:0.244757:0.369718:0.244757:0.354819:0.123689:0.354819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
AB BC:@0.095525:0.451875:0.143119:0.451875:0.143119:0.437313:0.095525:0.437313:0.000000:0.000000:0.000000:0.000000:0.000000
AC:@0.160012:0.451875:0.177544:0.451875:0.177544:0.437313:0.160012:0.437313:0.000000:0.000000
AB BC:@0.110662:0.472714:0.159093:0.472714:0.159093:0.458152:0.110662:0.458152:0.000000:0.000000:0.000000:0.000000:0.000000
mCmA:@0.094770:0.491177:0.187155:0.491177:0.187155:0.476616:0.094770:0.476616:0.000000:0.000000:0.000000:0.000000
+:@0.115041:0.451505:0.124045:0.451505:0.124045:0.436427:0.115041:0.436427:0.000000
>:@0.147416:0.451505:0.156420:0.451505:0.156420:0.436427:0.147416:0.436427:0.000000
>:@0.130737:0.472344:0.139740:0.472344:0.139740:0.457266:0.130737:0.457266:0.000000
>:@0.137166:0.490808:0.146170:0.490808:0.146170:0.475729:0.137166:0.475729:0.000000
Si:@0.094540:0.472714:0.105660:0.472714:0.105660:0.458128:0.094540:0.458128:0.000000:0.000000
entonces:@0.164604:0.472714:0.225204:0.472714:0.225204:0.458128:0.164604:0.458128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.106825:0.491953:0.065183:0.491953:0.065183:0.477047:0.106825:0.477047:0.000000
:@0.161061:0.491953:0.119420:0.491953:0.119420:0.477047:0.161061:0.477047:0.000000
     Matemática:@0.115799:0.167754:0.223340:0.167754:0.223340:0.150853:0.115799:0.150853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.2.8. :@0.289869:0.965521:0.331921:0.965521:0.331921:0.954766:0.289869:0.954766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clasificar y construir triángulos, utilizando regla y compás, bajo condiciones de ciertas medidas de lados y/o ángulos.:@0.331921:0.965521:0.874802:0.965521:0.874802:0.955091:0.331921:0.955091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.356078:0.965521:0.358646:0.965521:0.358646:0.955091:0.356078:0.955091:0.000000