﻿168:@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
9.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
aglomerado.:@0.130427:0.347204:0.218561:0.347204:0.218561:0.332091:0.130427:0.332091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla :@0.221526:0.347204:0.259956:0.347204:0.259956:0.332305:0.221526:0.332305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de madera que se :@0.130427:0.362291:0.253925:0.362291:0.253925:0.347392:0.130427:0.347392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma a partir de :@0.130427:0.377379:0.245229:0.377379:0.245229:0.362480:0.130427:0.362480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mezclar virutas con cola. :@0.071425:0.392467:0.237893:0.392467:0.237893:0.377567:0.071425:0.377567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Muchos de los objetos que nos rodean son polígonos regulares: baldosas, adornos, :@0.287495:0.150303:0.907657:0.150303:0.907657:0.133914:0.287495:0.133914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señales de tránsito, mesas, parques, entre otros. Es necesario saber calcular su área, :@0.287495:0.166899:0.907683:0.166899:0.907683:0.150510:0.287495:0.150510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ya que permite realizar trabajos exactos, medir superficies, construir edificios, anali-:@0.287495:0.183496:0.903714:0.183496:0.903714:0.167107:0.287495:0.167107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
zar datos, entre otras aplicaciones.:@0.287495:0.200092:0.536818:0.200092:0.536818:0.183703:0.287495:0.183703:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las mesas octogonales tienen una apariencia única y distintiva. La forma octogonal :@0.287495:0.223811:0.907637:0.223811:0.907637:0.207422:0.287495:0.207422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede ser elegida para aportar un toque de originalidad y sofisticación a la decora-:@0.287495:0.240407:0.903620:0.240407:0.903620:0.224018:0.287495:0.224018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción de una habitación. ¿Qué cantidad de madera :@0.287495:0.257004:0.666810:0.257004:0.666810:0.240615:0.287495:0.240615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aglomerada:@0.668137:0.257004:0.760478:0.257004:0.760478:0.240380:0.668137:0.240380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 se necesita para el :@0.760478:0.257004:0.907714:0.257004:0.907714:0.240615:0.760478:0.240615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tablero de una mesa de radio 91,5 cm y de 70 cm de lado?:@0.287495:0.273600:0.714722:0.273600:0.714722:0.257211:0.287495:0.257211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.287495:0.304455:0.351273:0.304455:0.351273:0.287818:0.287495:0.287818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los polígonos regulares tienen n lados iguales, por lo que si unimos con un segmen-:@0.287495:0.328174:0.903677:0.328174:0.903677:0.311785:0.287495:0.311785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to de recta el centro con cada vértice, el polígono queda dividido en n triángulos :@0.287495:0.344771:0.907637:0.344771:0.907637:0.328382:0.287495:0.328382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales. Entonces, el área de un polígono se puede determinar mediante la suma de :@0.287495:0.361367:0.907672:0.361367:0.907672:0.344978:0.287495:0.344978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las áreas de estos triángulos. :@0.287495:0.377964:0.498378:0.377964:0.498378:0.361575:0.287495:0.361575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver el problema, calculamos el área de uno de los triángulos. Determina-:@0.287495:0.401683:0.903622:0.401683:0.903622:0.385294:0.287495:0.385294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos el valor de la altura mediante el teorema de Pitágoras.:@0.287495:0.418279:0.715802:0.418279:0.715802:0.401890:0.287495:0.401890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área del triángulo es::@0.287495:0.536901:0.455738:0.536901:0.455738:0.520513:0.287495:0.520513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, para obtener el área multiplicamos por el número de triángulos::@0.287495:0.679243:0.809561:0.679243:0.809561:0.662854:0.287495:0.662854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces se necesitan 23 660 cm  o 2,366 m  de madera aglomerada.:@0.287495:0.750414:0.795631:0.750433:0.795631:0.734044:0.287495:0.734025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.530146:0.744385:0.535388:0.744385:0.535388:0.734831:0.530146:0.734831:0.000000
2:@0.611567:0.744385:0.616810:0.744385:0.616810:0.734831:0.611567:0.734831:0.000000
A partir del método anterior podemos establecer una fórmula para hallar el área :@0.287489:0.784842:0.907669:0.784842:0.907669:0.768454:0.287489:0.768454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de un polígono regular. :@0.287489:0.801439:0.463563:0.801439:0.463563:0.785050:0.287489:0.785050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para n triángulos tenemos que: :@0.296992:0.836705:0.539517:0.836705:0.539517:0.820316:0.296992:0.820316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.545844:0.841099:0.555740:0.841099:0.555740:0.824738:0.545844:0.824738:0.000000
n:@0.579511:0.841099:0.589020:0.841099:0.589020:0.824738:0.579511:0.824738:0.000000
bh:@0.597986:0.832337:0.625093:0.832337:0.625093:0.815976:0.597986:0.815976:0.000000:0.000000
p:@0.555215:0.843103:0.560587:0.843103:0.560587:0.833621:0.555215:0.833621:0.000000
=⋅:@0.566210:0.840684:0.595049:0.840684:0.595049:0.823742:0.566210:0.823742:0.000000:0.000000
⋅:@0.609242:0.831922:0.613849:0.831922:0.613849:0.814980:0.609242:0.814980:0.000000
2:@0.607049:0.851948:0.616042:0.851948:0.616042:0.835559:0.607049:0.835559:0.000000
 ; si   es la apotema del polígono, :@0.629345:0.836705:0.898167:0.836705:0.898167:0.820316:0.629345:0.820316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.663510:0.836705:0.673018:0.836705:0.673018:0.820344:0.663510:0.820344:0.000000
b:@0.296984:0.866883:0.306253:0.866883:0.306253:0.850521:0.296984:0.850521:0.000000
 es su lado y considerando además que   ·   es el perímetro, se obtiene que::@0.306253:0.866883:0.862875:0.866883:0.862875:0.850494:0.306253:0.850494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n b:@0.598681:0.866883:0.628847:0.866883:0.628847:0.850521:0.598681:0.850521:0.000000:0.000000:0.000000
A:@0.554845:0.902411:0.564741:0.902411:0.564741:0.886050:0.554845:0.886050:0.000000
Pap:@0.589968:0.893657:0.627708:0.893657:0.627708:0.877296:0.589968:0.877296:0.000000:0.000000:0.000000
p:@0.564217:0.904424:0.569588:0.904424:0.569588:0.894942:0.564217:0.894942:0.000000
=:@0.575211:0.901997:0.585328:0.901997:0.585328:0.885054:0.575211:0.885054:0.000000
⋅:@0.601489:0.893242:0.606096:0.893242:0.606096:0.876300:0.601489:0.876300:0.000000
2:@0.604530:0.913254:0.613522:0.913254:0.613522:0.896865:0.604530:0.896865:0.000000
Área de polígonos regulares:@0.286308:0.079033:0.774968:0.079033:0.774968:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
1:@0.800404:0.463532:0.809823:0.463532:0.809823:0.446968:0.800404:0.446968:0.000000
2:@0.830149:0.474046:0.839568:0.474046:0.839568:0.457482:0.830149:0.457482:0.000000
3:@0.840945:0.497693:0.850364:0.497693:0.850364:0.481129:0.840945:0.481129:0.000000
4:@0.828111:0.518708:0.837530:0.518708:0.837530:0.502144:0.828111:0.502144:0.000000
5:@0.800404:0.531193:0.809823:0.531193:0.809823:0.514630:0.800404:0.514630:0.000000
6:@0.775616:0.516958:0.785035:0.516958:0.785035:0.500394:0.775616:0.500394:0.000000
7:@0.761037:0.499443:0.770457:0.499443:0.770457:0.482879:0.761037:0.482879:0.000000
8:@0.772329:0.476458:0.781749:0.476458:0.781749:0.459894:0.772329:0.459894:0.000000
91,5 cm:@0.739504:0.612105:0.758122:0.573560:0.739069:0.568376:0.720451:0.606921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
91,5 cm:@0.833400:0.610041:0.852018:0.571496:0.832965:0.566312:0.814347:0.604857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
70 cm:@0.752127:0.656779:0.794615:0.656779:0.794615:0.641569:0.752127:0.641569:0.000000:0.000000:0.000000:0.000000:0.000000
35 cm:@0.828808:0.654716:0.871296:0.654716:0.871296:0.639506:0.828808:0.639506:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.776827:0.615565:0.786185:0.615565:0.786185:0.600354:0.776827:0.600354:0.000000
h:@0.875444:0.605543:0.884801:0.605543:0.884801:0.590332:0.875444:0.590332:0.000000
h:@0.336567:0.465694:0.346075:0.465694:0.346075:0.449333:0.336567:0.449333:0.000000
r:@0.374583:0.465694:0.379871:0.465694:0.379871:0.449333:0.374583:0.449333:0.000000
l:@0.416082:0.462237:0.419878:0.462237:0.419878:0.445875:0.416082:0.445875:0.000000
h:@0.336567:0.497010:0.346075:0.497010:0.346075:0.480649:0.336567:0.480649:0.000000
h:@0.485241:0.497010:0.494749:0.497010:0.494749:0.480649:0.485241:0.480649:0.000000
=:@0.349027:0.465279:0.359144:0.465279:0.359144:0.448337:0.349027:0.448337:0.000000
−:@0.391484:0.465279:0.401601:0.465279:0.401601:0.448337:0.391484:0.448337:0.000000
( ):@0.403891:0.470514:0.440286:0.470514:0.440286:0.439527:0.403891:0.439527:0.000000:0.000000:0.000000
=:@0.349027:0.496595:0.359144:0.496595:0.359144:0.479653:0.349027:0.479653:0.000000
−:@0.412787:0.496595:0.422903:0.496595:0.422903:0.479653:0.412787:0.479653:0.000000
=:@0.497701:0.496595:0.507818:0.496595:0.507818:0.479653:0.497701:0.479653:0.000000
2:@0.381589:0.458033:0.386800:0.458033:0.386800:0.448535:0.381589:0.448535:0.000000
2:@0.440327:0.452615:0.445538:0.452615:0.445538:0.443117:0.440327:0.443117:0.000000
2:@0.402894:0.489349:0.408106:0.489349:0.408106:0.479851:0.402894:0.479851:0.000000
2:@0.442580:0.489349:0.447792:0.489349:0.447792:0.479851:0.442580:0.479851:0.000000
2:@0.423104:0.472609:0.432097:0.472609:0.432097:0.456220:0.423104:0.456220:0.000000
915 ,:@0.374566:0.497006:0.392747:0.497010:0.392747:0.480621:0.374566:0.480617:0.000000:0.000000:0.000000:0.000000:0.000000
35 ;       :@0.425205:0.497006:0.485273:0.497010:0.485273:0.480621:0.425205:0.480617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
845 cm:@0.510738:0.497010:0.570113:0.497010:0.570113:0.480621:0.510738:0.480621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.528854:0.497010:0.532060:0.497010:0.532060:0.480621:0.528854:0.480621:0.000000
A:@0.353369:0.581019:0.363265:0.581019:0.363265:0.564658:0.353369:0.564658:0.000000
bh:@0.380900:0.572250:0.408007:0.572250:0.408007:0.555889:0.380900:0.555889:0.000000:0.000000
A:@0.353369:0.617918:0.363265:0.617918:0.363265:0.601557:0.353369:0.601557:0.000000
A:@0.353369:0.647888:0.363265:0.647888:0.363265:0.631527:0.353369:0.631527:0.000000
=:@0.366398:0.580604:0.376514:0.580604:0.376514:0.563662:0.366398:0.563662:0.000000
⋅:@0.392159:0.571836:0.396766:0.571836:0.396766:0.554893:0.392159:0.554893:0.000000
=:@0.366398:0.617503:0.376514:0.617503:0.376514:0.600561:0.366398:0.600561:0.000000
⋅:@0.400433:0.608735:0.405040:0.608735:0.405040:0.591793:0.400433:0.591793:0.000000
=:@0.366398:0.647460:0.376514:0.647460:0.376514:0.630518:0.366398:0.630518:0.000000
2:@0.389948:0.591862:0.398941:0.591862:0.398941:0.575473:0.389948:0.575473:0.000000
70 84 5 ,:@0.380568:0.609150:0.427827:0.609151:0.427827:0.592762:0.380568:0.592761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.405003:0.628761:0.413996:0.628761:0.413996:0.612372:0.405003:0.612372:0.000000
2 957 5 , cm:@0.379407:0.647888:0.459228:0.647876:0.459228:0.631487:0.379407:0.631500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.458933:0.640230:0.464144:0.640230:0.464144:0.630732:0.458933:0.630732:0.000000
 Matemática e historia:@0.085293:0.461817:0.244758:0.461817:0.244758:0.446452:0.085293:0.446452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fórmula de Herón:@0.119083:0.480462:0.244758:0.480462:0.244758:0.465350:0.119083:0.465350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Herón (siglo I d. C.) fue un :@0.074086:0.499108:0.248426:0.499108:0.248426:0.484209:0.074086:0.484209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ingeniero y matemático :@0.085143:0.514196:0.248426:0.514196:0.248426:0.499297:0.085143:0.499297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que vivió en Alejandría :@0.092564:0.529283:0.248425:0.529283:0.248425:0.514384:0.092564:0.514384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(provincia romana de :@0.102699:0.544371:0.248428:0.544371:0.248428:0.529472:0.102699:0.529472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Egipto). Fue uno de los :@0.092430:0.559459:0.248428:0.559459:0.248428:0.544560:0.092430:0.544560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
científicos e inventores :@0.092028:0.574546:0.248426:0.574546:0.248426:0.559647:0.092028:0.559647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más grandes de la :@0.123790:0.589634:0.248428:0.589634:0.248428:0.574735:0.123790:0.574735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antigüedad. :@0.162606:0.604722:0.248426:0.604722:0.248426:0.589823:0.162606:0.589823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Su logro más destacado :@0.085025:0.623367:0.248428:0.623367:0.248428:0.608468:0.085025:0.608468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el campo de la :@0.125951:0.638455:0.248428:0.638455:0.248428:0.623556:0.125951:0.623556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geometría es la :@0.142553:0.653543:0.248426:0.653543:0.248426:0.638644:0.142553:0.638644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
denominada fórmula de :@0.082646:0.668630:0.248426:0.668630:0.248426:0.653731:0.082646:0.653731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Herón, en la que se :@0.117106:0.683718:0.248428:0.683718:0.248428:0.668819:0.117106:0.668819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
establece la relación entre :@0.070853:0.698805:0.248425:0.698805:0.248425:0.683906:0.070853:0.683906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el área de un triángulo :@0.094407:0.713893:0.248426:0.713893:0.248426:0.698994:0.094407:0.698994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y la longitud de sus :@0.115816:0.728981:0.248426:0.728981:0.248426:0.714082:0.115816:0.714082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados a, b, c.:@0.165738:0.744068:0.244758:0.744068:0.244758:0.729169:0.165738:0.729169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Donde s es el :@0.155385:0.833764:0.248428:0.833764:0.248428:0.818865:0.155385:0.818865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
semiperímetro.:@0.143927:0.848852:0.244758:0.848852:0.244758:0.833953:0.143927:0.833953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090130:0.432657:0.247336:0.432657:0.247336:0.415757:0.090130:0.415757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.086612:0.876209:0.094529:0.876209:0.094529:0.863120:0.086612:0.863120:0.000000
s sa sb sc:@0.117939:0.876209:0.230875:0.876209:0.230875:0.863120:0.117939:0.863120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.097041:0.875877:0.105134:0.875877:0.105134:0.862324:0.097041:0.862324:0.000000
−:@0.138333:0.875877:0.146427:0.875877:0.146427:0.862324:0.138333:0.862324:0.000000
(:@0.124598:0.877277:0.129508:0.877277:0.129508:0.859955:0.124598:0.859955:0.000000
)(:@0.156854:0.877277:0.167745:0.877277:0.167745:0.859955:0.156854:0.859955:0.000000:0.000000
−:@0.176573:0.875877:0.184666:0.875877:0.184666:0.862324:0.176573:0.862324:0.000000
)(:@0.194870:0.877277:0.205773:0.877277:0.205773:0.859955:0.194870:0.859955:0.000000:0.000000
−:@0.214601:0.875877:0.222694:0.875877:0.222694:0.862324:0.214601:0.862324:0.000000
):@0.232397:0.877277:0.237306:0.877277:0.237306:0.859955:0.232397:0.859955:0.000000
s:@0.139044:0.907062:0.145420:0.907062:0.145420:0.890701:0.139044:0.890701:0.000000
ab c:@0.163958:0.898294:0.221618:0.898294:0.221618:0.881933:0.163958:0.881933:0.000000:0.000000:0.000000:0.000000
=:@0.149198:0.906647:0.159314:0.906647:0.159314:0.889705:0.149198:0.889705:0.000000
++:@0.176109:0.897886:0.211084:0.897886:0.211084:0.880944:0.176109:0.880944:0.000000:0.000000
2:@0.188824:0.917913:0.197816:0.917913:0.197816:0.901524:0.188824:0.901524:0.000000
Mesa de madera con tablero :@0.087476:0.300760:0.262643:0.300760:0.262643:0.287351:0.087476:0.287351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de forma octogonal.:@0.137216:0.314339:0.259341:0.314339:0.259341:0.300930:0.137216:0.300930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.053759:0.193496:0.053759:0.188389:0.041677:0.188389:0.041677:0.193496:0.000000
Shutterstock:@0.053759:0.188389:0.053759:0.150671:0.041848:0.150671:0.041848:0.188389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.103957:0.785210:0.110802:0.785210:0.110802:0.771800:0.103957:0.771800:0.000000
b:@0.181831:0.785210:0.190153:0.785210:0.190153:0.771800:0.181831:0.771800:0.000000
c:@0.153817:0.832611:0.160542:0.832611:0.160542:0.819202:0.153817:0.819202:0.000000
M.4.2.18. :@0.290067:0.961066:0.338404:0.961066:0.338404:0.950311:0.290067:0.950311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el área de polígonos regulares por descomposición en triángulos.:@0.338404:0.961066:0.682824:0.961066:0.682824:0.950636:0.338404:0.950636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000