193:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.118702:0.165865:0.118702:0.165865:0.103589:0.096359:0.103589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la medida del cateto 2 del triángulo rectángulo?:@0.096359:0.142740:0.511674:0.142740:0.511674:0.127070:0.096359:0.127070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.096359:0.164850:0.160571:0.164850:0.160571:0.149737:0.096359:0.149737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como necesitamos la medida del cateto, aplicamos:@0.096359:0.188888:0.473641:0.188888:0.473641:0.173218:0.096359:0.173218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la fórmula :@0.096359:0.211100:0.173774:0.211100:0.173774:0.195430:0.096359:0.195430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.176755:0.211103:0.186024:0.211103:0.186024:0.194742:0.176755:0.194742:0.000000
c:@0.217794:0.211103:0.225460:0.211103:0.225460:0.194742:0.217794:0.194742:0.000000
b:@0.248734:0.211103:0.258003:0.211103:0.258003:0.194742:0.248734:0.194742:0.000000
2:@0.226647:0.202754:0.231501:0.202754:0.231501:0.194296:0.226647:0.194296:0.000000
2:@0.258736:0.202754:0.263590:0.202754:0.263590:0.194296:0.258736:0.194296:0.000000
=:@0.189896:0.211781:0.200013:0.211781:0.200013:0.196208:0.189896:0.196208:0.000000
−:@0.235854:0.211781:0.245971:0.211781:0.245971:0.196208:0.235854:0.196208:0.000000
.:@0.266838:0.211103:0.270044:0.211103:0.270044:0.195434:0.266838:0.195434:0.000000
a:@0.099343:0.241115:0.108612:0.241115:0.108612:0.224754:0.099343:0.224754:0.000000
10:@0.138871:0.241115:0.156653:0.241115:0.156653:0.225445:0.138871:0.225445:0.000000:0.000000
6:@0.179761:0.241115:0.188754:0.241115:0.188754:0.225445:0.179761:0.225445:0.000000
2:@0.157296:0.232766:0.162150:0.232766:0.162150:0.224308:0.157296:0.224308:0.000000
2:@0.189384:0.232766:0.194238:0.232766:0.194238:0.224308:0.189384:0.224308:0.000000
=:@0.112483:0.241793:0.122600:0.241793:0.122600:0.226220:0.112483:0.226220:0.000000
−:@0.166513:0.241793:0.176630:0.241793:0.176630:0.226220:0.166513:0.226220:0.000000
a:@0.099343:0.272383:0.108612:0.272383:0.108612:0.256022:0.099343:0.256022:0.000000
m:@0.286292:0.272383:0.300923:0.272383:0.300923:0.256022:0.286292:0.256022:0.000000
100 36:@0.138868:0.272383:0.198850:0.272383:0.198850:0.256713:0.138868:0.256713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
64:@0.232112:0.272383:0.249895:0.272383:0.249895:0.256713:0.232112:0.256713:0.000000:0.000000
8:@0.269539:0.272383:0.278531:0.272383:0.278531:0.256713:0.269539:0.256713:0.000000
=:@0.112483:0.273061:0.122600:0.273061:0.122600:0.257488:0.112483:0.257488:0.000000
−:@0.168190:0.273061:0.178307:0.273061:0.178307:0.257488:0.168190:0.257488:0.000000
=:@0.204198:0.273061:0.214314:0.273061:0.214314:0.257488:0.204198:0.257488:0.000000
=:@0.255611:0.273061:0.265728:0.273061:0.265728:0.257488:0.255611:0.257488:0.000000
Ejemplo 2:@0.096359:0.302036:0.165865:0.302036:0.165865:0.286924:0.096359:0.286924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos:@0.096359:0.326075:0.187686:0.326075:0.187686:0.309174:0.096359:0.309174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuánto mide la hipotenusa de un triángulo rectángulo cuyo cateto 1 :@0.187686:0.326075:0.698681:0.326075:0.698681:0.310405:0.187686:0.310405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mide 36 :@0.096359:0.342671:0.160321:0.342671:0.160321:0.327001:0.096359:0.327001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.160321:0.342671:0.182619:0.342671:0.182619:0.326310:0.160321:0.326310:0.000000:0.000000
 y cuyo cateto 2 mide 48 :@0.182619:0.342671:0.366138:0.342671:0.366138:0.327001:0.182619:0.327001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.366138:0.342671:0.388435:0.342671:0.388435:0.326310:0.366138:0.326310:0.000000:0.000000
.:@0.388435:0.342671:0.391642:0.342671:0.391642:0.327001:0.388435:0.327001:0.000000
Solución :@0.096359:0.364781:0.160571:0.364781:0.160571:0.349668:0.096359:0.349668:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.099343:0.395106:0.107009:0.395106:0.107009:0.378744:0.099343:0.378744:0.000000
a:@0.139239:0.395106:0.148508:0.395106:0.148508:0.378744:0.139239:0.378744:0.000000
b:@0.171322:0.395106:0.180591:0.395106:0.180591:0.378744:0.171322:0.378744:0.000000
2:@0.149235:0.386756:0.154089:0.386756:0.154089:0.378298:0.149235:0.378298:0.000000
2:@0.181323:0.386756:0.186177:0.386756:0.186177:0.378298:0.181323:0.378298:0.000000
=:@0.111332:0.395783:0.121448:0.395783:0.121448:0.380210:0.111332:0.380210:0.000000
+:@0.158451:0.395783:0.168568:0.395783:0.168568:0.380210:0.158451:0.380210:0.000000
c:@0.099343:0.428888:0.107009:0.428888:0.107009:0.412527:0.099343:0.412527:0.000000
36:@0.138871:0.428888:0.156653:0.428888:0.156653:0.413218:0.138871:0.413218:0.000000:0.000000
48:@0.180130:0.428888:0.197913:0.428888:0.197913:0.413218:0.180130:0.413218:0.000000:0.000000
1 296 2 304:@0.236777:0.428888:0.332453:0.428888:0.332453:0.413218:0.236777:0.413218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 600:@0.365715:0.428888:0.407048:0.428888:0.407048:0.413218:0.365715:0.413218:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.157296:0.420539:0.162150:0.420539:0.162150:0.412081:0.157296:0.412081:0.000000
2:@0.198545:0.420539:0.203399:0.420539:0.203399:0.412081:0.198545:0.412081:0.000000
=:@0.111332:0.429566:0.121448:0.429566:0.121448:0.413993:0.111332:0.413993:0.000000
+:@0.166504:0.429566:0.176621:0.429566:0.176621:0.413993:0.166504:0.413993:0.000000
=:@0.210380:0.429566:0.220497:0.429566:0.220497:0.413993:0.210380:0.413993:0.000000
+:@0.278175:0.429566:0.288292:0.429566:0.288292:0.413993:0.278175:0.413993:0.000000
=:@0.338176:0.429566:0.348293:0.429566:0.348293:0.413993:0.338176:0.413993:0.000000
Obtenemos:@0.096359:0.456384:0.189732:0.456384:0.189732:0.439483:0.096359:0.439483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la raíz de 3 600 mediante la descomposición de factores primos.:@0.189732:0.456384:0.662123:0.456384:0.662123:0.440714:0.189732:0.440714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.711966:0.165865:0.711966:0.165865:0.696853:0.096359:0.696853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la medida de la altura del triángulo equilátero de la figura?:@0.096359:0.736004:0.586324:0.736004:0.586324:0.720334:0.096359:0.720334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución :@0.096359:0.758114:0.160571:0.758114:0.160571:0.743001:0.096359:0.743001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trazamos la altura del triángulo y obtenemos dos triángulos rectángulos, luego :@0.096359:0.782152:0.698703:0.782152:0.698703:0.766482:0.096359:0.766482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinamos el valor de uno de los catetos por el teorema de Pitágoras.:@0.096359:0.798748:0.632264:0.798748:0.632264:0.783078:0.096359:0.783078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.098977:0.828760:0.108246:0.828760:0.108246:0.812399:0.098977:0.812399:0.000000
c:@0.140015:0.828760:0.147681:0.828760:0.147681:0.812399:0.140015:0.812399:0.000000
a:@0.171326:0.828760:0.180595:0.828760:0.180595:0.812399:0.171326:0.812399:0.000000
cm:@0.510929:0.828760:0.532838:0.828760:0.532838:0.812399:0.510929:0.812399:0.000000:0.000000
5:@0.220692:0.828760:0.229685:0.828760:0.229685:0.813090:0.220692:0.813090:0.000000
2,5:@0.251632:0.828760:0.274980:0.828760:0.274980:0.813090:0.251632:0.813090:0.000000:0.000000:0.000000
25 6,25:@0.314194:0.828760:0.379667:0.828760:0.379667:0.813090:0.314194:0.813090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18,75:@0.410626:0.828760:0.451498:0.828760:0.451498:0.813090:0.410626:0.813090:0.000000:0.000000:0.000000:0.000000:0.000000
4,33:@0.470718:0.828760:0.503593:0.828760:0.503593:0.813090:0.470718:0.813090:0.000000:0.000000:0.000000:0.000000
2:@0.148868:0.820411:0.153722:0.820411:0.153722:0.811953:0.148868:0.811953:0.000000
2:@0.181324:0.820411:0.186178:0.820411:0.186178:0.811953:0.181324:0.811953:0.000000
2:@0.229546:0.820411:0.234400:0.820411:0.234400:0.811953:0.229546:0.811953:0.000000
2:@0.274833:0.820411:0.279687:0.820411:0.279687:0.811953:0.274833:0.811953:0.000000
=:@0.112117:0.829438:0.122234:0.829438:0.122234:0.813865:0.112117:0.813865:0.000000
−:@0.158075:0.829438:0.168192:0.829438:0.168192:0.813865:0.158075:0.813865:0.000000
=:@0.193162:0.829438:0.203278:0.829438:0.203278:0.813865:0.193162:0.813865:0.000000
−:@0.238752:0.829438:0.248868:0.829438:0.248868:0.813865:0.238752:0.813865:0.000000
=:@0.286664:0.829438:0.296780:0.829438:0.296780:0.813865:0.286664:0.813865:0.000000
−:@0.333930:0.829438:0.344047:0.829438:0.344047:0.813865:0.333930:0.813865:0.000000
=:@0.384238:0.829438:0.394355:0.829438:0.394355:0.813865:0.384238:0.813865:0.000000
=:@0.456069:0.829438:0.466186:0.829438:0.466186:0.813865:0.456069:0.813865:0.000000
223 5:@0.383396:0.561211:0.462967:0.561211:0.462967:0.545542:0.383396:0.545542:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.502918:0.561211:0.511911:0.561211:0.511911:0.545542:0.502918:0.545542:0.000000
4:@0.543809:0.561211:0.552801:0.561211:0.552801:0.545542:0.543809:0.545542:0.000000
9:@0.583963:0.561211:0.592955:0.561211:0.592955:0.545542:0.583963:0.545542:0.000000
25:@0.623748:0.561211:0.641531:0.561211:0.641531:0.545542:0.623748:0.545542:0.000000:0.000000
223 560:@0.369785:0.583843:0.486137:0.583843:0.486137:0.568173:0.369785:0.568173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.392662:0.552862:0.397516:0.552862:0.397516:0.544404:0.392662:0.544404:0.000000
2:@0.416325:0.552862:0.421179:0.552862:0.421179:0.544404:0.416325:0.544404:0.000000
2:@0.439571:0.552862:0.444425:0.552862:0.444425:0.544404:0.439571:0.544404:0.000000
2:@0.462816:0.552862:0.467670:0.552862:0.467670:0.544404:0.462816:0.544404:0.000000
⋅:@0.401092:0.561889:0.405699:0.561889:0.405699:0.546316:0.401092:0.546316:0.000000
⋅:@0.424753:0.561889:0.429360:0.561889:0.429360:0.546316:0.424753:0.546316:0.000000
⋅:@0.447990:0.561889:0.452597:0.561889:0.452597:0.546316:0.447990:0.546316:0.000000
=:@0.474636:0.561889:0.484753:0.561889:0.484753:0.546316:0.474636:0.546316:0.000000
×:@0.516578:0.561889:0.526695:0.561889:0.526695:0.546316:0.516578:0.546316:0.000000
×:@0.557469:0.561889:0.567585:0.561889:0.567585:0.546316:0.557469:0.546316:0.000000
×:@0.597251:0.561889:0.607367:0.561889:0.607367:0.546316:0.597251:0.546316:0.000000
=:@0.646102:0.561889:0.656219:0.561889:0.656219:0.546316:0.646102:0.546316:0.000000
×× ×=:@0.381150:0.584515:0.464185:0.584515:0.464185:0.568943:0.381150:0.568943:0.000000:0.000000:0.000000:0.000000:0.000000
La hipotenusa del triángulo mide 60 :@0.367168:0.611593:0.630313:0.611593:0.630313:0.595923:0.367168:0.595923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.630129:0.611593:0.652242:0.611593:0.652242:0.595231:0.630129:0.595231:0.000000:0.000000
.:@0.652058:0.611593:0.655264:0.611593:0.655264:0.595923:0.652058:0.595923:0.000000
b:@0.449340:0.251341:0.455579:0.251341:0.455579:0.240613:0.449340:0.240613:0.000000
 = 6 :@0.455579:0.251341:0.476313:0.251341:0.476313:0.240622:0.455579:0.240622:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.476313:0.251341:0.485914:0.251341:0.485914:0.240613:0.476313:0.240613:0.000000
c:@0.588221:0.235984:0.593247:0.235984:0.593247:0.225256:0.588221:0.225256:0.000000
 = 10 :@0.593247:0.235984:0.620077:0.235984:0.620077:0.225265:0.593247:0.225265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.620077:0.235984:0.629678:0.235984:0.629678:0.225256:0.620077:0.225256:0.000000
a:@0.541761:0.300390:0.547964:0.300390:0.547964:0.289661:0.541761:0.289661:0.000000
 = ?:@0.547964:0.300390:0.564908:0.300390:0.564908:0.289670:0.547964:0.289670:0.000000:0.000000:0.000000:0.000000
A:@0.486639:0.191020:0.493388:0.191020:0.493388:0.180292:0.486639:0.180292:0.000000
B:@0.691110:0.294316:0.697277:0.294316:0.697277:0.283588:0.691110:0.283588:0.000000
C:@0.477228:0.294316:0.483823:0.294316:0.483823:0.283588:0.477228:0.283588:0.000000
90º:@0.506697:0.283173:0.523107:0.283173:0.523107:0.272454:0.506697:0.272454:0.000000:0.000000:0.000000
a:@0.524704:0.857051:0.531318:0.857051:0.531318:0.845612:0.524704:0.845612:0.000000
 = 5 :@0.531318:0.857051:0.553426:0.857051:0.553426:0.845622:0.531318:0.845622:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.553426:0.857051:0.563663:0.857051:0.563663:0.845612:0.553426:0.845612:0.000000
a:@0.649816:0.857051:0.656429:0.857051:0.656429:0.845612:0.649816:0.845612:0.000000
 = 5 :@0.656429:0.857051:0.678537:0.857051:0.678537:0.845622:0.656429:0.845622:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.678537:0.857051:0.688774:0.857051:0.688774:0.845612:0.678537:0.845612:0.000000
a:@0.589331:0.931933:0.595945:0.931933:0.595945:0.920494:0.589331:0.920494:0.000000
 = 5 :@0.595945:0.931933:0.618053:0.931933:0.618053:0.920503:0.595945:0.920503:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.618053:0.931933:0.628290:0.931933:0.628290:0.920494:0.618053:0.920494:0.000000
3 600        2:@0.132770:0.494073:0.214292:0.495330:0.214292:0.479660:0.132770:0.478403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     1 800        2:@0.116534:0.519049:0.214679:0.519049:0.214679:0.503379:0.116534:0.503379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        900        2:@0.116534:0.542768:0.213574:0.542768:0.213574:0.527098:0.116534:0.527098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        450        2:@0.116534:0.566487:0.213574:0.566487:0.213574:0.550817:0.116534:0.550817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        225        3:@0.116534:0.590206:0.213574:0.590206:0.213574:0.574536:0.116534:0.574536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
          75        3 :@0.116534:0.613925:0.216502:0.613925:0.216502:0.598255:0.116534:0.598255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
          25        5:@0.116534:0.637644:0.212468:0.637644:0.212468:0.621974:0.116534:0.621974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
            5        5:@0.116534:0.661363:0.211362:0.661363:0.211362:0.645693:0.116534:0.645693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
            1:@0.116534:0.685082:0.171743:0.685082:0.171743:0.669412:0.116534:0.669412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.282066:0.506960:0.291059:0.506960:0.291059:0.491290:0.282066:0.491290:0.000000
2:@0.290874:0.500913:0.296117:0.500913:0.296117:0.491777:0.290874:0.491777:0.000000
2:@0.282066:0.555995:0.291059:0.555995:0.291059:0.540325:0.282066:0.540325:0.000000
2:@0.290874:0.549947:0.296117:0.549947:0.296117:0.540812:0.290874:0.540812:0.000000
3:@0.282066:0.602515:0.291059:0.602515:0.291059:0.586845:0.282066:0.586845:0.000000
2:@0.290874:0.596468:0.296117:0.596468:0.296117:0.587332:0.290874:0.587332:0.000000
5:@0.282066:0.650292:0.291059:0.650292:0.291059:0.634623:0.282066:0.634623:0.000000
2:@0.290874:0.644245:0.296117:0.644245:0.296117:0.635110:0.290874:0.635110:0.000000
Existen tríos de :@0.731684:0.164059:0.835748:0.164059:0.835748:0.149814:0.731684:0.149814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números especiales, :@0.731684:0.179147:0.869638:0.179147:0.869638:0.164901:0.731684:0.164901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamados ternas :@0.731684:0.194234:0.840422:0.194234:0.840422:0.179989:0.731684:0.179989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pitagóricas, que :@0.731684:0.209322:0.841293:0.209322:0.841293:0.195077:0.731684:0.195077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
verifican el teorema de :@0.731684:0.224409:0.887898:0.224409:0.887898:0.210164:0.731684:0.210164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pitágoras con números :@0.731684:0.239497:0.888853:0.239497:0.888853:0.225252:0.731684:0.225252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales. Por ejemplo::@0.731684:0.254585:0.882889:0.254585:0.882889:0.240339:0.731684:0.240339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3, 4, 5, ya que :@0.768405:0.273230:0.861096:0.273230:0.861096:0.258985:0.768405:0.258985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3  + 4  = 5:@0.776178:0.288318:0.844881:0.288323:0.844881:0.274078:0.776178:0.274073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.784355:0.282825:0.789121:0.282825:0.789121:0.274520:0.784355:0.274520:0.000000
2:@0.814618:0.282825:0.819384:0.282825:0.819384:0.274520:0.814618:0.274520:0.000000
2:@0.844881:0.282825:0.849647:0.282825:0.849647:0.274520:0.844881:0.274520:0.000000
También son ternas :@0.731684:0.310540:0.865852:0.310540:0.865852:0.296294:0.731684:0.296294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pitagóricas sus :@0.731684:0.325627:0.833855:0.325627:0.833855:0.311382:0.731684:0.311382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
múltiplos: :@0.731684:0.340715:0.801072:0.340715:0.801072:0.326470:0.731684:0.326470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      6, 8, 10 y 9, 12, 15.:@0.731684:0.355802:0.871231:0.355802:0.871231:0.341557:0.731684:0.341557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina :@0.731684:0.378019:0.792009:0.378019:0.792009:0.362906:0.731684:0.362906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que tienes una :@0.792009:0.378019:0.894751:0.378019:0.894751:0.363774:0.792009:0.363774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalera en tu casa y :@0.731684:0.393106:0.871181:0.393106:0.871181:0.378861:0.731684:0.378861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que está reclinada en :@0.731684:0.408194:0.877428:0.408194:0.877428:0.393949:0.731684:0.393949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la pared. ¿Cuál sería la :@0.731684:0.423282:0.880326:0.423282:0.880326:0.409036:0.731684:0.409036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hipotenusa?:@0.731684:0.438369:0.813636:0.438369:0.813636:0.424124:0.731684:0.424124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.767045:0.127703:0.876468:0.127703:0.876468:0.110802:0.767045:0.110802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.767045:0.140275:0.861486:0.140275:0.861486:0.123374:0.767045:0.123374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.733029:0.562675:0.784174:0.562675:0.784174:0.547562:0.733029:0.547562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.784174:0.562675:0.867901:0.562675:0.867901:0.548430:0.784174:0.548430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace web: :@0.733029:0.577762:0.816488:0.577762:0.816488:0.563517:0.733029:0.563517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/8m32:@0.733029:0.592850:0.822939:0.592850:0.822939:0.577725:0.733029:0.577725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime:@0.733029:0.615067:0.792533:0.615067:0.792533:0.599954:0.733029:0.599954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el documento :@0.792533:0.615067:0.894420:0.615067:0.894420:0.600821:0.792533:0.600821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.733029:0.630154:0.744069:0.630154:0.744069:0.615909:0.733029:0.615909:0.000000:0.000000
refuerza:@0.744069:0.630154:0.801159:0.630154:0.801159:0.615041:0.744069:0.615041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tu :@0.801159:0.630154:0.822569:0.630154:0.822569:0.615909:0.801159:0.615909:0.000000:0.000000:0.000000:0.000000
conocimiento.:@0.733029:0.645242:0.829204:0.645242:0.829204:0.630997:0.733029:0.630997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.751188:0.537045:0.898839:0.537045:0.898839:0.520144:0.751188:0.520144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000