128:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Figuras planas:@0.073089:0.043661:0.202227:0.043661:0.202227:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.5 Teorema de Pitágoras:@0.293660:0.136836:0.490826:0.136836:0.490826:0.119889:0.293660:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El teorema de Pitágoras es una relación entre los lados de un triángulo rectángulo.:@0.302768:0.173568:0.882691:0.173568:0.882691:0.157134:0.302768:0.157134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un triángulo rectángulo se pueden identificar diferentes elementos::@0.302768:0.200931:0.802148:0.200931:0.802148:0.184497:0.302768:0.184497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Catetos::@0.302768:0.228293:0.362684:0.228293:0.362684:0.211624:0.302768:0.211624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lados que forman el ángulo recto.:@0.362408:0.228293:0.604200:0.228293:0.604200:0.211859:0.362408:0.211859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa::@0.302768:0.255655:0.392789:0.255655:0.392789:0.238986:0.302768:0.238986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 lado mayor del triángulo opuesto al ángulo recto.:@0.392485:0.255655:0.745941:0.255655:0.745941:0.239221:0.392485:0.239221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ángulo recto: :@0.302768:0.283017:0.406953:0.283017:0.406953:0.266348:0.302768:0.266348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ángulo de 90° que forman los dos catetos.:@0.406659:0.283017:0.703975:0.283017:0.703975:0.266583:0.406659:0.266583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.293675:0.326771:0.369458:0.326771:0.369458:0.310102:0.293675:0.310102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un edificio tiene una ventana a 4 m de altura que requiere ser limpiada. Para ello, se debe :@0.293675:0.352344:0.931352:0.352344:0.931352:0.335910:0.293675:0.335910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colocar una escalera asentada a 3 m de la pared. ¿Cuántos metros deberá medir la :@0.293675:0.368986:0.930739:0.368986:0.930739:0.352552:0.293675:0.352552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalera?:@0.293675:0.385628:0.359076:0.385628:0.359076:0.369194:0.293675:0.369194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver esta situación, primero analizamos el gráfico. Como este esquema forma un :@0.293660:0.411205:0.930998:0.411205:0.930998:0.394771:0.293660:0.394771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
triángulo rectángulo, podemos demostrar lo siguiente::@0.293660:0.427846:0.690338:0.427846:0.690338:0.411413:0.293660:0.411413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Entonces, el cuadrado de   ( ) más el cuadrado de   ( ) es igual al cuadrado   ( ).:@0.293660:0.453419:0.894376:0.453423:0.894376:0.436989:0.293660:0.436986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.480181:0.453419:0.507368:0.453419:0.507368:0.437013:0.480181:0.437013:0.000000:0.000000:0.000000
2:@0.507305:0.447359:0.512542:0.447359:0.512542:0.437778:0.507305:0.437778:0.000000
b b:@0.667851:0.453423:0.695039:0.453423:0.695039:0.437017:0.667851:0.437017:0.000000:0.000000:0.000000
2:@0.694985:0.447359:0.700222:0.447359:0.700222:0.437778:0.694985:0.437778:0.000000
c c:@0.857243:0.453423:0.881228:0.453423:0.881228:0.437017:0.857243:0.437017:0.000000:0.000000:0.000000
2:@0.881180:0.447359:0.886416:0.447359:0.886416:0.437778:0.881180:0.437778:0.000000
Al comprobar, tenemos que         :@0.293655:0.478996:0.575788:0.478999:0.575788:0.462565:0.293655:0.462562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.500645:0.478996:0.509904:0.478996:0.509904:0.462590:0.500645:0.462590:0.000000
2:@0.509843:0.472935:0.515080:0.472935:0.515080:0.463354:0.509843:0.463354:0.000000
1:@0.518992:0.478444:0.534325:0.478444:0.534325:0.464728:0.518992:0.464728:0.000000
b:@0.538190:0.478999:0.547449:0.478999:0.547449:0.462593:0.538190:0.462593:0.000000
2:@0.547369:0.472935:0.552606:0.472935:0.552606:0.463354:0.547369:0.463354:0.000000
5:@0.556516:0.478444:0.571849:0.478444:0.571849:0.464728:0.556516:0.464728:0.000000
c:@0.575714:0.478999:0.583372:0.478999:0.583372:0.462593:0.575714:0.462593:0.000000
2:@0.583292:0.472935:0.588528:0.472935:0.588528:0.463354:0.583292:0.463354:0.000000
3    4    5    9   16   25:@0.502241:0.504575:0.718336:0.504575:0.718336:0.488142:0.502241:0.488142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.511142:0.498512:0.516379:0.498512:0.516379:0.488931:0.511142:0.488931:0.000000
1:@0.520290:0.504021:0.535623:0.504021:0.535623:0.490305:0.520290:0.490305:0.000000
2:@0.548376:0.498512:0.553613:0.498512:0.553613:0.488931:0.548376:0.488931:0.000000
5:@0.557525:0.504021:0.572858:0.504021:0.572858:0.490305:0.557525:0.490305:0.000000
2:@0.585611:0.498512:0.590848:0.498512:0.590848:0.488931:0.585611:0.488931:0.000000
1:@0.640307:0.504021:0.655640:0.504021:0.655640:0.490305:0.640307:0.490305:0.000000
5:@0.681245:0.504021:0.696578:0.504021:0.696578:0.490305:0.681245:0.490305:0.000000
Partimos de la fórmula:           :@0.293660:0.530151:0.553473:0.530151:0.553473:0.513717:0.293660:0.513717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.478337:0.530151:0.487596:0.530151:0.487596:0.513745:0.478337:0.513745:0.000000
2:@0.487529:0.524087:0.492766:0.524087:0.492766:0.514506:0.487529:0.514506:0.000000
1:@0.496675:0.529596:0.512009:0.529596:0.512009:0.515880:0.496675:0.515880:0.000000
b:@0.515874:0.530151:0.525133:0.530151:0.525133:0.513745:0.515874:0.513745:0.000000
2:@0.525053:0.524087:0.530290:0.524087:0.530290:0.514506:0.525053:0.514506:0.000000
5:@0.534201:0.529596:0.549534:0.529596:0.549534:0.515880:0.534201:0.515880:0.000000
c:@0.553400:0.530151:0.561057:0.530151:0.561057:0.513745:0.553400:0.513745:0.000000
2:@0.560977:0.524087:0.566214:0.524087:0.566214:0.514506:0.560977:0.514506:0.000000
Siendo     cateto 1 :@0.293660:0.555728:0.443340:0.555728:0.443340:0.539294:0.293660:0.539294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.348109:0.555728:0.357368:0.555728:0.357368:0.539322:0.348109:0.539322:0.000000
5:@0.361252:0.555173:0.376585:0.555173:0.376585:0.541457:0.361252:0.541457:0.000000
b:@0.474386:0.555728:0.483645:0.555728:0.483645:0.539322:0.474386:0.539322:0.000000
   cateto 2 :@0.483571:0.555728:0.569610:0.555728:0.569610:0.539294:0.483571:0.539294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.487529:0.555173:0.502862:0.555173:0.502862:0.541457:0.487529:0.541457:0.000000
 :@0.594916:0.555728:0.598947:0.555728:0.598947:0.539294:0.594916:0.539294:0.000000
c:@0.655112:0.555728:0.662769:0.555728:0.662769:0.539322:0.655112:0.539322:0.000000
   hipotenusa:@0.662695:0.555728:0.768217:0.555728:0.768217:0.539294:0.662695:0.539294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.666653:0.555173:0.681986:0.555173:0.681986:0.541457:0.666653:0.541457:0.000000
c:@0.293667:0.581301:0.301324:0.581301:0.301324:0.564894:0.293667:0.564894:0.000000
    :@0.301251:0.581301:0.328431:0.581304:0.328431:0.564871:0.301251:0.564867:0.000000:0.000000:0.000000:0.000000
5:@0.305208:0.580746:0.320541:0.580746:0.320541:0.567030:0.305208:0.567030:0.000000
a:@0.333517:0.581304:0.342776:0.581304:0.342776:0.564898:0.333517:0.564898:0.000000
2:@0.342709:0.575241:0.347946:0.575241:0.347946:0.565659:0.342709:0.565659:0.000000
   :@0.347898:0.581304:0.371128:0.581304:0.371128:0.564871:0.347898:0.564871:0.000000:0.000000:0.000000
1:@0.351855:0.580750:0.367189:0.580750:0.367189:0.567034:0.351855:0.567034:0.000000
b:@0.371054:0.581304:0.380313:0.581304:0.380313:0.564898:0.371054:0.564898:0.000000
2:@0.380233:0.575241:0.385470:0.575241:0.385470:0.565659:0.380233:0.565659:0.000000
b:@0.293660:0.606880:0.302919:0.606880:0.302919:0.590474:0.293660:0.590474:0.000000
        :@0.302845:0.606880:0.371128:0.606880:0.371128:0.590446:0.302845:0.590446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.306803:0.606325:0.322136:0.606325:0.322136:0.592609:0.306803:0.592609:0.000000
c:@0.335118:0.606880:0.342776:0.606880:0.342776:0.590474:0.335118:0.590474:0.000000
2:@0.342709:0.600816:0.347946:0.600816:0.347946:0.591235:0.342709:0.591235:0.000000
2:@0.351855:0.606325:0.367189:0.606325:0.367189:0.592609:0.351855:0.592609:0.000000
a:@0.371054:0.606880:0.380313:0.606880:0.380313:0.590474:0.371054:0.590474:0.000000
2:@0.380233:0.600816:0.385470:0.600816:0.385470:0.591235:0.380233:0.591235:0.000000
a:@0.293660:0.632457:0.302919:0.632457:0.302919:0.616050:0.293660:0.616050:0.000000
        :@0.302845:0.632457:0.371128:0.632457:0.371128:0.616023:0.302845:0.616023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.306803:0.631902:0.322136:0.631902:0.322136:0.618186:0.306803:0.618186:0.000000
c:@0.335118:0.632457:0.342776:0.632457:0.342776:0.616050:0.335118:0.616050:0.000000
2:@0.342709:0.626393:0.347946:0.626393:0.347946:0.616812:0.342709:0.616812:0.000000
2:@0.351855:0.631902:0.367189:0.631902:0.367189:0.618186:0.351855:0.618186:0.000000
b:@0.371054:0.632457:0.380313:0.632457:0.380313:0.616050:0.371054:0.616050:0.000000
2:@0.380233:0.626393:0.385470:0.626393:0.385470:0.616812:0.380233:0.616812:0.000000
Como queremos encontrar la hipotenusa, aplicamos :@0.293660:0.658033:0.710516:0.658033:0.710516:0.641599:0.293660:0.641599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.706332:0.658033:0.710364:0.658033:0.710364:0.641599:0.706332:0.641599:0.000000
la fórmula::@0.293660:0.674675:0.369380:0.674675:0.369380:0.658241:0.293660:0.658241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.293660:0.700251:0.301318:0.700251:0.301318:0.683844:0.293660:0.683844:0.000000
    :@0.301244:0.700251:0.328431:0.700251:0.328431:0.683817:0.301244:0.683817:0.000000:0.000000:0.000000:0.000000
5:@0.305201:0.699696:0.320535:0.699696:0.320535:0.685980:0.305201:0.685980:0.000000
a:@0.333517:0.700251:0.342776:0.700251:0.342776:0.683844:0.333517:0.683844:0.000000
2:@0.342709:0.694187:0.347946:0.694187:0.347946:0.684606:0.342709:0.684606:0.000000
   :@0.347898:0.700251:0.371128:0.700251:0.371128:0.683817:0.347898:0.683817:0.000000:0.000000:0.000000
1:@0.351855:0.699696:0.367189:0.699696:0.367189:0.685980:0.351855:0.685980:0.000000
b:@0.371054:0.700251:0.380313:0.700251:0.380313:0.683844:0.371054:0.683844:0.000000
2:@0.380233:0.694187:0.385470:0.694187:0.385470:0.684606:0.380233:0.684606:0.000000
c:@0.293660:0.725827:0.301318:0.725827:0.301318:0.709421:0.293660:0.709421:0.000000
 :@0.301244:0.725827:0.305275:0.725827:0.305275:0.709393:0.301244:0.709393:0.000000
5  :@0.305201:0.725273:0.329554:0.725273:0.329554:0.711557:0.305201:0.711557:0.000000:0.000000:0.000000
3    4     9   16    25   5:@0.334064:0.725827:0.549687:0.725827:0.549687:0.709393:0.334064:0.709393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.342966:0.719763:0.348203:0.719763:0.348203:0.710182:0.342966:0.710182:0.000000
1:@0.352113:0.725273:0.367446:0.725273:0.367446:0.711557:0.352113:0.711557:0.000000
2:@0.380201:0.719763:0.385438:0.719763:0.385438:0.710182:0.380201:0.710182:0.000000
5   1:@0.389348:0.725273:0.445826:0.725273:0.445826:0.711557:0.389348:0.711557:0.000000:0.000000:0.000000:0.000000:0.000000
5  :@0.471449:0.725273:0.495238:0.725273:0.495238:0.711557:0.471449:0.711557:0.000000:0.000000:0.000000
5:@0.521505:0.725273:0.536838:0.725273:0.536838:0.711557:0.521505:0.711557:0.000000
La escalera deberá medir 5 m.:@0.293660:0.751400:0.509706:0.751400:0.509706:0.734966:0.293660:0.734966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.293660:0.776973:0.369443:0.776973:0.369443:0.760304:0.293660:0.760304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es la medida del cateto 2 del triángulo rectángulo?:@0.293660:0.802546:0.704355:0.802546:0.704355:0.786112:0.293660:0.786112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.293660:0.828119:0.359794:0.828119:0.359794:0.811450:0.293660:0.811450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.359761:0.828119:0.363792:0.828119:0.363792:0.811685:0.359761:0.811685:0.000000
Como necesitamos la medida del cateto, aplicamos:@0.293660:0.853692:0.667042:0.853692:0.667042:0.837258:0.293660:0.837258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la fórmula          :@0.293660:0.879284:0.447570:0.879284:0.447570:0.862850:0.293660:0.862850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.370102:0.879284:0.379361:0.879284:0.379361:0.862878:0.370102:0.862878:0.000000
5:@0.383245:0.878729:0.398578:0.878729:0.398578:0.865014:0.383245:0.865014:0.000000
c:@0.411560:0.879284:0.419218:0.879284:0.419218:0.862878:0.411560:0.862878:0.000000
2:@0.419151:0.873220:0.424388:0.873220:0.424388:0.863639:0.419151:0.863639:0.000000
2:@0.428297:0.878729:0.443631:0.878729:0.443631:0.865014:0.428297:0.865014:0.000000
b:@0.447496:0.879284:0.456755:0.879284:0.456755:0.862878:0.447496:0.862878:0.000000
2:@0.456676:0.873220:0.461913:0.873220:0.461913:0.863639:0.456676:0.863639:0.000000
a:@0.293660:0.904861:0.302919:0.904861:0.302919:0.888455:0.293660:0.888455:0.000000
     10    6:@0.302845:0.904861:0.390251:0.904861:0.390251:0.888427:0.302845:0.888427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.306803:0.904306:0.322136:0.904306:0.322136:0.890590:0.306803:0.890590:0.000000
2:@0.352921:0.898797:0.358158:0.898797:0.358158:0.889216:0.352921:0.889216:0.000000
2:@0.362070:0.904306:0.377403:0.904306:0.377403:0.890590:0.362070:0.890590:0.000000
2:@0.390156:0.898797:0.395393:0.898797:0.395393:0.889216:0.390156:0.889216:0.000000
a:@0.293660:0.930437:0.302919:0.930437:0.302919:0.914031:0.293660:0.914031:0.000000
     100   36     64   8 m:@0.302845:0.930437:0.503935:0.930437:0.503935:0.914003:0.302845:0.914003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.306803:0.929882:0.322136:0.929882:0.322136:0.916167:0.306803:0.916167:0.000000
2:@0.365766:0.929882:0.381100:0.929882:0.381100:0.916167:0.365766:0.916167:0.000000
5:@0.406704:0.929882:0.422037:0.929882:0.422037:0.916167:0.406704:0.916167:0.000000
5:@0.456794:0.929882:0.472127:0.929882:0.472127:0.916167:0.456794:0.916167:0.000000
b:@0.731115:0.658320:0.738713:0.658320:0.738713:0.644857:0.731115:0.644857:0.000000
 = 4 m:@0.738713:0.658320:0.777384:0.658320:0.777384:0.644834:0.738713:0.644834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.790909:0.753160:0.798507:0.753160:0.798507:0.739696:0.790909:0.739696:0.000000
 = 3 m:@0.798507:0.753160:0.837177:0.753160:0.837177:0.739674:0.798507:0.739674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.860143:0.658322:0.866427:0.658322:0.866427:0.644858:0.860143:0.644858:0.000000
 = ?:@0.866427:0.658322:0.887802:0.658322:0.887802:0.644836:0.866427:0.644836:0.000000:0.000000:0.000000:0.000000
A:@0.783146:0.578023:0.791258:0.578023:0.791258:0.564560:0.783146:0.564560:0.000000
B:@0.909021:0.743044:0.916272:0.743044:0.916272:0.729581:0.909021:0.729581:0.000000
C:@0.770548:0.743044:0.778675:0.743044:0.778675:0.729581:0.770548:0.729581:0.000000
b:@0.675517:0.880561:0.681487:0.880561:0.681487:0.869983:0.675517:0.869983:0.000000
 = 6 m:@0.681487:0.880561:0.711872:0.880561:0.711872:0.869965:0.681487:0.869965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.814244:0.865163:0.819181:0.865163:0.819181:0.854584:0.814244:0.854584:0.000000
 = 10 m:@0.819181:0.865163:0.855358:0.865163:0.855358:0.854566:0.819181:0.854566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.767835:0.929744:0.773805:0.929744:0.773805:0.919165:0.767835:0.919165:0.000000
 = ?:@0.773805:0.929744:0.790600:0.929744:0.790600:0.919148:0.773805:0.919148:0.000000:0.000000:0.000000:0.000000
A:@0.712774:0.820075:0.719148:0.820075:0.719148:0.809497:0.712774:0.809497:0.000000
B:@0.917019:0.923654:0.922716:0.923654:0.922716:0.913076:0.917019:0.913076:0.000000
C:@0.703374:0.923654:0.709759:0.923654:0.709759:0.913076:0.703374:0.913076:0.000000
90º:@0.732810:0.912480:0.748395:0.912480:0.748395:0.901884:0.732810:0.901884:0.000000:0.000000:0.000000
En la mayoría de casos, :@0.078581:0.187782:0.233209:0.187782:0.233209:0.172842:0.078581:0.172842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aunque los catetos sean :@0.078581:0.202911:0.241355:0.202911:0.241355:0.187971:0.078581:0.187971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números naturales,  :@0.078581:0.218040:0.211548:0.218040:0.211548:0.203100:0.078581:0.203100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1, 2, ..., la hipotenusa es un :@0.078581:0.233168:0.254932:0.233168:0.254932:0.218229:0.078581:0.218229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número con infinitas cifras :@0.078581:0.248297:0.256105:0.248297:0.256105:0.233358:0.078581:0.233358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimales.:@0.078581:0.263426:0.148078:0.263426:0.148078:0.248487:0.078581:0.248487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen tríos de números :@0.078581:0.697425:0.244209:0.697425:0.244209:0.682485:0.078581:0.682485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
especiales, llamados ternas :@0.078581:0.712554:0.260006:0.712554:0.260006:0.697614:0.078581:0.697614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pitagóricas, que verifican el :@0.078581:0.727688:0.261188:0.727688:0.261188:0.712748:0.078581:0.712748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teorema de Pitágoras con :@0.078581:0.742817:0.251591:0.742817:0.251591:0.727877:0.078581:0.727877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números naturales.  :@0.078581:0.757946:0.211548:0.757946:0.211548:0.743006:0.078581:0.743006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo: 3, 4, 5, ya que:@0.078581:0.773075:0.252941:0.773075:0.252941:0.758135:0.078581:0.758135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3    4    5:@0.128615:0.788204:0.204490:0.788204:0.204490:0.773264:0.128615:0.773264:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.136706:0.782691:0.141467:0.782691:0.141467:0.773981:0.136706:0.773981:0.000000
1:@0.145023:0.787700:0.158963:0.787700:0.158963:0.775231:0.145023:0.775231:0.000000
2:@0.170556:0.782691:0.175317:0.782691:0.175317:0.773981:0.170556:0.773981:0.000000
5:@0.178871:0.787700:0.192810:0.787700:0.192810:0.775231:0.178871:0.775231:0.000000
2:@0.204405:0.782691:0.209166:0.782691:0.209166:0.773981:0.204405:0.773981:0.000000
También son ternas :@0.078581:0.803333:0.211446:0.803333:0.211446:0.788393:0.078581:0.788393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pitagóricas sus múltiplos::@0.078581:0.818462:0.244608:0.818462:0.244608:0.803522:0.078581:0.803522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6, 8, 10 y 9, 12, 15.:@0.110921:0.833591:0.226988:0.833591:0.226988:0.818651:0.110921:0.818651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imagina que tienes una :@0.078575:0.848720:0.237567:0.848720:0.237567:0.833780:0.078575:0.833780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escalera en tu casa y que :@0.078575:0.863849:0.246047:0.863849:0.246047:0.848909:0.078575:0.848909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está reclinada en la pared. :@0.078575:0.878978:0.252672:0.878978:0.252672:0.864038:0.078575:0.864038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál sería la hipotenusa?:@0.078575:0.894106:0.247215:0.894106:0.247215:0.879167:0.078575:0.879167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.145303:0.187141:0.145303:0.187141:0.128356:0.078581:0.128356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.161945:0.176057:0.161945:0.176057:0.144998:0.078581:0.144998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.657636:0.187141:0.657636:0.187141:0.640689:0.078581:0.640689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.674278:0.176057:0.674278:0.176057:0.657331:0.078581:0.657331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4 m:@0.131080:0.370237:0.149884:0.370237:0.149884:0.359235:0.131080:0.359235:0.000000:0.000000:0.000000
3 m:@0.165830:0.430972:0.184634:0.430972:0.184634:0.419970:0.165830:0.419970:0.000000:0.000000:0.000000
Pared:@0.152038:0.395276:0.152038:0.374490:0.137436:0.374490:0.137436:0.395276:0.000000:0.000000:0.000000:0.000000:0.000000
Vereda:@0.163169:0.442445:0.196871:0.442445:0.196871:0.431443:0.163169:0.431443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ventana que:@0.193806:0.334375:0.255837:0.334375:0.255837:0.323373:0.193806:0.323373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
deseamos:@0.193806:0.343659:0.243897:0.343659:0.243897:0.332657:0.193806:0.332657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
limpiar:@0.193806:0.352942:0.227693:0.352942:0.227693:0.341941:0.193806:0.341941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escalera:@0.167733:0.378069:0.184173:0.404919:0.197433:0.400310:0.180993:0.373460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.167284:0.610809:0.171251:0.610809:0.171251:0.603552:0.167284:0.603552:0.000000
4:@0.146966:0.543805:0.150932:0.543805:0.150932:0.536549:0.146966:0.536549:0.000000
4:@0.108172:0.512459:0.112138:0.512459:0.112138:0.505202:0.108172:0.505202:0.000000
5:@0.161767:0.546812:0.165733:0.546812:0.165733:0.539555:0.161767:0.539555:0.000000
5:@0.242037:0.501650:0.246003:0.501650:0.246003:0.494394:0.242037:0.494394:0.000000
3:@0.167619:0.565532:0.171585:0.565532:0.171585:0.558275:0.167619:0.558275:0.000000
a:@0.167448:0.587840:0.171138:0.587840:0.171138:0.580583:0.167448:0.580583:0.000000
2:@0.171145:0.585163:0.173457:0.585163:0.173457:0.580933:0.171145:0.580933:0.000000
b:@0.098905:0.537699:0.103392:0.537699:0.103392:0.530443:0.098905:0.530443:0.000000
2:@0.103392:0.535022:0.105704:0.535022:0.105704:0.530792:0.103392:0.530792:0.000000
c:@0.200165:0.524304:0.203790:0.524304:0.203790:0.517047:0.200165:0.517047:0.000000
2:@0.203789:0.521627:0.206102:0.521627:0.206102:0.517396:0.203789:0.517396:0.000000
C:@0.137173:0.572420:0.141806:0.572420:0.141806:0.565164:0.137173:0.565164:0.000000
B:@0.196758:0.572420:0.200863:0.572420:0.200863:0.565164:0.196758:0.565164:0.000000
A:@0.138506:0.512458:0.143261:0.512458:0.143261:0.505202:0.138506:0.505202:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000