117:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
Ejemplos:@0.095800:0.131275:0.159794:0.131275:0.159794:0.116162:0.095800:0.116162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.095800:0.155313:0.111316:0.155313:0.111316:0.138177:0.095800:0.138177:0.000000:0.000000
  Un edificio mide 95 metros de altura. Si un automóvil se encuentra a 300 me-:@0.111316:0.155313:0.694128:0.155313:0.694128:0.139643:0.111316:0.139643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tros de la base del edificio, ¿cuál es la distancia del automóvil, medida desde lo :@0.124290:0.171910:0.698068:0.171910:0.698068:0.156240:0.124290:0.156240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alto del edificio?:@0.124290:0.188506:0.243517:0.188506:0.243517:0.172836:0.124290:0.172836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Datos:@0.174340:0.219595:0.217712:0.219595:0.217712:0.204017:0.174340:0.204017:0.000000:0.000000:0.000000:0.000000:0.000000
Operación:@0.356656:0.219595:0.434303:0.219595:0.434303:0.204017:0.356656:0.204017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta:@0.556462:0.219595:0.633406:0.219595:0.633406:0.204017:0.556462:0.204017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa: ?:@0.103444:0.249884:0.193806:0.249884:0.193806:0.235638:0.103444:0.235638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cateto  : 95 :@0.103444:0.264971:0.186418:0.264971:0.186418:0.250726:0.103444:0.250726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.151389:0.264971:0.159815:0.264971:0.159815:0.250097:0.151389:0.250097:0.000000
m:@0.186418:0.264971:0.199720:0.264971:0.199720:0.250097:0.186418:0.250097:0.000000
Cateto  : 300 :@0.103444:0.280059:0.194593:0.280059:0.194593:0.265814:0.103444:0.265814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.151389:0.280059:0.159815:0.280059:0.159815:0.265185:0.151389:0.265185:0.000000
m:@0.194593:0.280059:0.207895:0.280059:0.207895:0.265185:0.194593:0.265185:0.000000
=:@0.317321:0.255760:0.327438:0.255760:0.327438:0.240187:0.317321:0.240187:0.000000
+:@0.362967:0.255760:0.373083:0.255760:0.373083:0.240187:0.362967:0.240187:0.000000
=:@0.317321:0.281339:0.327438:0.281339:0.327438:0.265766:0.317321:0.265766:0.000000
+:@0.370246:0.281339:0.380362:0.281339:0.380362:0.265766:0.370246:0.265766:0.000000
c:@0.305856:0.255082:0.313522:0.255082:0.313522:0.238721:0.305856:0.238721:0.000000
a:@0.343596:0.255082:0.352865:0.255082:0.352865:0.238721:0.343596:0.238721:0.000000
b:@0.375844:0.255082:0.385113:0.255082:0.385113:0.238721:0.375844:0.238721:0.000000
c:@0.305856:0.280661:0.313522:0.280661:0.313522:0.264300:0.305856:0.264300:0.000000
95:@0.343227:0.280661:0.361010:0.280661:0.361010:0.264991:0.343227:0.264991:0.000000:0.000000
300:@0.383123:0.280661:0.409696:0.280661:0.409696:0.264991:0.383123:0.264991:0.000000:0.000000:0.000000
2:@0.353443:0.247421:0.358655:0.247421:0.358655:0.238340:0.353443:0.238340:0.000000
2:@0.385695:0.247421:0.390907:0.247421:0.390907:0.238340:0.385695:0.238340:0.000000
2:@0.360720:0.272999:0.365932:0.272999:0.365932:0.263917:0.360720:0.263917:0.000000
2:@0.410188:0.272999:0.415400:0.272999:0.415400:0.263917:0.410188:0.263917:0.000000
c:@0.302872:0.299026:0.309841:0.299026:0.309841:0.284153:0.302872:0.284153:0.000000
 = 314,68 :@0.309841:0.299026:0.374623:0.299026:0.374623:0.284781:0.309841:0.284781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.374623:0.299026:0.387924:0.299026:0.387924:0.284153:0.374623:0.284153:0.000000
La distancia desde lo alto :@0.502326:0.257435:0.673315:0.257435:0.673315:0.243190:0.502326:0.243190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del edificio al automóvil es :@0.502326:0.272523:0.683385:0.272523:0.683385:0.258277:0.502326:0.258277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
314,68  .:@0.502326:0.287610:0.566002:0.287610:0.566002:0.273365:0.502326:0.273365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.549786:0.287610:0.563087:0.287610:0.563087:0.272736:0.549786:0.272736:0.000000
Datos:@0.148844:0.558308:0.192216:0.558308:0.192216:0.542730:0.148844:0.542730:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfico:@0.292965:0.558308:0.346355:0.558308:0.346355:0.542730:0.292965:0.542730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operación:@0.430419:0.558308:0.508066:0.558308:0.508066:0.542730:0.430419:0.542730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta:@0.580805:0.558308:0.657749:0.558308:0.657749:0.542730:0.580805:0.542730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa: 6 :@0.103412:0.600503:0.199235:0.600503:0.199235:0.586258:0.103412:0.586258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.199235:0.600503:0.219506:0.600503:0.219506:0.585629:0.199235:0.585629:0.000000:0.000000
 :@0.219506:0.600503:0.223175:0.600503:0.223175:0.586258:0.219506:0.586258:0.000000
Cateto  : ?:@0.103412:0.615591:0.172968:0.615591:0.172968:0.601346:0.103412:0.601346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.151357:0.615591:0.160001:0.615591:0.160001:0.600717:0.151357:0.600717:0.000000
Cateto  : 3 :@0.103412:0.630679:0.178211:0.630679:0.178211:0.616433:0.103412:0.616433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.151357:0.630679:0.159784:0.630679:0.159784:0.615805:0.151357:0.615805:0.000000
cm:@0.178211:0.630679:0.198482:0.630679:0.198482:0.615805:0.178211:0.615805:0.000000:0.000000
6 :@0.265610:0.598928:0.271685:0.598928:0.271685:0.591816:0.265610:0.591816:0.000000:0.000000
cm:@0.271685:0.598928:0.281999:0.598928:0.281999:0.591866:0.271685:0.591866:0.000000:0.000000
3 :@0.285770:0.633264:0.291844:0.633264:0.291844:0.626151:0.285770:0.626151:0.000000:0.000000
cm:@0.291844:0.633264:0.302159:0.633264:0.302159:0.626202:0.291844:0.626202:0.000000:0.000000
h:@0.300240:0.605871:0.304714:0.605871:0.304714:0.598809:0.300240:0.598809:0.000000
h:@0.403560:0.594787:0.412857:0.594787:0.417546:0.578791:0.408249:0.578791:0.000000
c:@0.441395:0.594787:0.448890:0.594787:0.453579:0.578791:0.446084:0.578791:0.000000
b:@0.472762:0.594787:0.481825:0.594787:0.486514:0.578791:0.477451:0.578791:0.000000
h:@0.403560:0.619803:0.412857:0.619803:0.417546:0.603806:0.408249:0.603806:0.000000
h:@0.403560:0.640087:0.412857:0.640087:0.417546:0.624090:0.408249:0.624090:0.000000
cm:@0.458457:0.640087:0.479854:0.640087:0.484543:0.624090:0.463146:0.624090:0.000000:0.000000
–:@0.462880:0.594787:0.471888:0.594787:0.471888:0.579467:0.462880:0.579467:0.000000
6–3:@0.443512:0.619803:0.482878:0.619803:0.482878:0.604482:0.443512:0.604482:0.000000:0.000000:0.000000
5,19:@0.430900:0.640086:0.460069:0.640086:0.460069:0.624765:0.430900:0.624765:0.000000:0.000000:0.000000:0.000000
2:@0.453140:0.587277:0.458223:0.587277:0.458223:0.578420:0.453140:0.578420:0.000000
2:@0.484898:0.587277:0.489981:0.587277:0.489981:0.578420:0.484898:0.578420:0.000000
2:@0.452744:0.612293:0.457827:0.612293:0.457827:0.603436:0.452744:0.603436:0.000000
2:@0.482586:0.612293:0.487669:0.612293:0.487669:0.603436:0.482586:0.603436:0.000000
=:@0.418288:0.595450:0.428179:0.595450:0.428179:0.580224:0.418288:0.580224:0.000000
=:@0.418288:0.620465:0.428179:0.620465:0.428179:0.605240:0.418288:0.605240:0.000000
=:@0.418288:0.640748:0.428179:0.640748:0.428179:0.625522:0.418288:0.625522:0.000000
La altura de la figura :@0.551047:0.608043:0.689339:0.608043:0.689339:0.593798:0.551047:0.593798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es 5,19 :@0.551047:0.623131:0.600199:0.623131:0.600199:0.608886:0.551047:0.608886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.600199:0.623131:0.620469:0.623131:0.620469:0.608257:0.600199:0.608257:0.000000:0.000000
.:@0.620469:0.623131:0.623384:0.623131:0.623384:0.608886:0.620469:0.608886:0.000000
b) :@0.095800:0.331017:0.116181:0.331017:0.116181:0.313881:0.095800:0.313881:0.000000:0.000000:0.000000
Una escalera de 5   de longitud es apoyada sobre una pared. Si la distancia :@0.124290:0.331017:0.698210:0.331017:0.698210:0.315347:0.124290:0.315347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.261963:0.331017:0.276595:0.331017:0.276595:0.314656:0.261963:0.314656:0.000000
entre la base de la pared a la escalera es 1,4  , ¿cuál es la altura de la pared?:@0.124290:0.347614:0.678645:0.347614:0.678645:0.331944:0.124290:0.331944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.444633:0.347614:0.459264:0.347614:0.459264:0.331252:0.444633:0.331252:0.000000
c):@0.095801:0.524517:0.109898:0.524517:0.109898:0.507381:0.095801:0.507381:0.000000:0.000000
  Encontrar el valor del dato desconocido.:@0.109897:0.524517:0.419409:0.524517:0.419409:0.508847:0.109897:0.508847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.095801:0.697963:0.112570:0.697963:0.112570:0.680827:0.095801:0.680827:0.000000:0.000000
  Encuentra el área de la región no sombreada.:@0.112569:0.697963:0.455636:0.697963:0.455636:0.682293:0.112569:0.682293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.095800:0.721682:0.099836:0.721682:0.099836:0.706012:0.095800:0.706012:0.000000
Observamos que la parte que no está coloreada :@0.124290:0.721682:0.489259:0.721682:0.489259:0.706012:0.124290:0.706012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está conformada por triángulos rectángulos con-:@0.124290:0.738278:0.485219:0.738278:0.485219:0.722609:0.124290:0.722609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gruentes. Hallemos el cateto faltante.:@0.124290:0.754875:0.395153:0.754875:0.395153:0.739205:0.124290:0.739205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.095800:0.788662:0.099836:0.788662:0.099836:0.772992:0.095800:0.772992:0.000000
h:@0.125897:0.783637:0.135405:0.783637:0.140201:0.767275:0.130693:0.767275:0.000000
c:@0.164945:0.783637:0.172611:0.783637:0.177407:0.767275:0.169741:0.767275:0.000000
a:@0.196567:0.783637:0.205836:0.783637:0.210632:0.767275:0.201363:0.767275:0.000000
h:@0.231174:0.783637:0.240683:0.783637:0.245479:0.767275:0.235970:0.767275:0.000000
h:@0.347968:0.783637:0.357477:0.783637:0.362273:0.767275:0.352764:0.767275:0.000000
;:@0.218315:0.783637:0.221521:0.783637:0.221521:0.767967:0.218315:0.767967:0.000000
...:@0.222719:0.783637:0.232006:0.783637:0.232006:0.767967:0.222719:0.767967:0.000000:0.000000:0.000000
15:@0.270889:0.783637:0.288671:0.783637:0.288671:0.767967:0.270889:0.767967:0.000000:0.000000
12 ;:@0.308260:0.783637:0.338315:0.783637:0.338315:0.767967:0.308260:0.767967:0.000000:0.000000:0.000000:0.000000
...:@0.339513:0.783637:0.348801:0.783637:0.348801:0.767967:0.339513:0.767967:0.000000:0.000000:0.000000
9:@0.376313:0.783637:0.385306:0.783637:0.385306:0.767967:0.376313:0.767967:0.000000
2:@0.176958:0.775974:0.182170:0.775974:0.182170:0.766893:0.176958:0.766893:0.000000
2:@0.209360:0.775974:0.214572:0.775974:0.214572:0.766893:0.209360:0.766893:0.000000
2:@0.288358:0.775974:0.293569:0.775974:0.293569:0.766893:0.288358:0.766893:0.000000
2:@0.326153:0.775974:0.331365:0.775974:0.331365:0.766893:0.326153:0.766893:0.000000
=:@0.141150:0.784314:0.151267:0.784314:0.151267:0.768741:0.141150:0.768741:0.000000
−:@0.186076:0.784314:0.196193:0.784314:0.196193:0.768741:0.186076:0.768741:0.000000
=:@0.246427:0.784314:0.256544:0.784314:0.256544:0.768741:0.246427:0.768741:0.000000
−:@0.297471:0.784314:0.307588:0.784314:0.307588:0.768741:0.297471:0.768741:0.000000
=:@0.363221:0.784314:0.373338:0.784314:0.373338:0.768741:0.363221:0.768741:0.000000
 :@0.095800:0.812390:0.099836:0.812390:0.099836:0.796720:0.095800:0.796720:0.000000
El área del triángulo sería::@0.124290:0.812390:0.310369:0.812390:0.310369:0.796720:0.124290:0.796720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.124290:0.836109:0.134186:0.836109:0.134186:0.819748:0.124290:0.819748:0.000000
 = (  ×  )/2;   = (12 × 9)/2;   = 108/2 = 54 :@0.134186:0.836109:0.443457:0.836109:0.443457:0.820439:0.134186:0.820439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.158123:0.836109:0.167392:0.836109:0.167392:0.819748:0.158123:0.819748:0.000000
h:@0.186447:0.836109:0.195955:0.836109:0.195955:0.819748:0.186447:0.819748:0.000000
A:@0.223541:0.836109:0.233437:0.836109:0.233437:0.819748:0.223541:0.819748:0.000000
A:@0.330993:0.836109:0.340889:0.836109:0.340889:0.819748:0.330993:0.819748:0.000000
cm:@0.443457:0.836109:0.465754:0.836109:0.465754:0.819748:0.443457:0.819748:0.000000:0.000000
2:@0.465754:0.836109:0.471025:0.836109:0.471025:0.820439:0.465754:0.820439:0.000000
 :@0.095800:0.859828:0.099836:0.859828:0.099836:0.844158:0.095800:0.844158:0.000000
Multiplicando por 2, tenemos: A = 54 × 2 = 108 :@0.124290:0.859828:0.458862:0.859828:0.458862:0.844158:0.124290:0.844158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.457996:0.859828:0.480109:0.859828:0.480109:0.843467:0.457996:0.843467:0.000000:0.000000
2:@0.479925:0.859828:0.485195:0.859828:0.485195:0.844158:0.479925:0.844158:0.000000
Solución:@0.124278:0.889284:0.184939:0.889284:0.184939:0.874171:0.124278:0.874171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.095800:0.913322:0.099836:0.913322:0.099836:0.897653:0.095800:0.897653:0.000000
El área de la región no sombreada es 108 :@0.124289:0.913322:0.428157:0.913322:0.428157:0.897653:0.124289:0.897653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cm:@0.428157:0.913322:0.450454:0.913322:0.450454:0.896961:0.428157:0.896961:0.000000:0.000000
2:@0.450454:0.913322:0.455724:0.913322:0.455724:0.897653:0.450454:0.897653:0.000000
Datos:@0.148494:0.379129:0.191866:0.379129:0.191866:0.363551:0.148494:0.363551:0.000000:0.000000:0.000000:0.000000:0.000000
Gráfico:@0.293067:0.379129:0.346457:0.379129:0.346457:0.363551:0.293067:0.363551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operación:@0.430521:0.379129:0.508168:0.379129:0.508168:0.363551:0.430521:0.363551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Respuesta:@0.580455:0.379129:0.657398:0.379129:0.657398:0.363551:0.580455:0.363551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hipotenusa: 5 :@0.102509:0.424920:0.198332:0.424920:0.198332:0.410675:0.102509:0.410675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.198332:0.424920:0.211634:0.424920:0.211634:0.410046:0.198332:0.410046:0.000000
Cateto  : ?:@0.102509:0.440008:0.171847:0.440008:0.171847:0.425762:0.102509:0.425762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.150454:0.440008:0.158881:0.440008:0.158881:0.425134:0.150454:0.425134:0.000000
Cateto : 1,4 :@0.102509:0.455095:0.187745:0.455095:0.187745:0.440850:0.102509:0.440850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 b:@0.146785:0.455095:0.158227:0.455095:0.158227:0.440221:0.146785:0.440221:0.000000:0.000000
m:@0.187745:0.455095:0.201046:0.455095:0.201046:0.440221:0.187745:0.440221:0.000000
=:@0.417280:0.429720:0.427396:0.429720:0.427396:0.414147:0.417280:0.414147:0.000000
−:@0.461782:0.429720:0.471899:0.429720:0.471899:0.414147:0.461782:0.414147:0.000000
=:@0.417280:0.455293:0.427396:0.455293:0.427396:0.439720:0.417280:0.439720:0.000000
−:@0.461414:0.455293:0.471531:0.455293:0.471531:0.439720:0.461414:0.439720:0.000000
a:@0.404657:0.429043:0.413926:0.429043:0.413926:0.412681:0.404657:0.412681:0.000000
c:@0.443557:0.429043:0.451223:0.429043:0.451223:0.412681:0.443557:0.412681:0.000000
b:@0.474645:0.429043:0.483914:0.429043:0.483914:0.412681:0.474645:0.412681:0.000000
a:@0.404657:0.454615:0.413926:0.454615:0.413926:0.438254:0.404657:0.438254:0.000000
5:@0.443189:0.454615:0.452182:0.454615:0.452182:0.438945:0.443189:0.438945:0.000000
1,4:@0.473134:0.454615:0.493846:0.454615:0.493846:0.438945:0.473134:0.438945:0.000000:0.000000:0.000000
2:@0.452250:0.421380:0.457462:0.421380:0.457462:0.412299:0.452250:0.412299:0.000000
2:@0.484503:0.421380:0.489714:0.421380:0.489714:0.412299:0.484503:0.412299:0.000000
2:@0.451887:0.446957:0.457099:0.446957:0.457099:0.437876:0.451887:0.437876:0.000000
2:@0.494713:0.446957:0.499924:0.446957:0.499924:0.437876:0.494713:0.437876:0.000000
a:@0.401680:0.475523:0.410106:0.475523:0.410106:0.460649:0.401680:0.460649:0.000000
 = 4,8 :@0.410106:0.475523:0.450362:0.475523:0.450362:0.461277:0.410106:0.461277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.450362:0.475523:0.463664:0.475523:0.463664:0.460649:0.450362:0.460649:0.000000
La altura de la pared :@0.551262:0.440004:0.689736:0.440004:0.689736:0.425759:0.551262:0.425759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es 4,8 metros.:@0.551262:0.455091:0.641907:0.455091:0.641907:0.440846:0.551262:0.440846:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 72567307:@0.915367:0.292891:0.915367:0.222606:0.903979:0.222606:0.903979:0.292891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.390611:0.474267:0.390611:0.423958:0.379223:0.423958:0.379223:0.474267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 :@0.270267:0.425751:0.279742:0.425751:0.279742:0.414355:0.270267:0.414355:0.000000:0.000000
m:@0.279742:0.425751:0.290384:0.425751:0.290384:0.413852:0.279742:0.413852:0.000000
1,4 :@0.277679:0.486896:0.296026:0.486896:0.296026:0.475500:0.277679:0.475500:0.000000:0.000000:0.000000:0.000000
m:@0.296026:0.486896:0.306667:0.486896:0.306667:0.474997:0.296026:0.474997:0.000000
?:@0.354297:0.439591:0.359403:0.439591:0.359403:0.428195:0.354297:0.428195:0.000000
18 :@0.661263:0.814374:0.682203:0.814374:0.682203:0.799115:0.661263:0.799115:0.000000:0.000000:0.000000
cm:@0.682203:0.814374:0.703025:0.814374:0.703025:0.799103:0.682203:0.799103:0.000000:0.000000
12 :@0.567845:0.729739:0.588785:0.729739:0.588785:0.714480:0.567845:0.714480:0.000000:0.000000:0.000000
cm:@0.588785:0.729739:0.609607:0.729739:0.609607:0.714468:0.588785:0.714468:0.000000:0.000000
15 :@0.566356:0.831652:0.587296:0.831652:0.587296:0.816393:0.566356:0.816393:0.000000:0.000000:0.000000
cm:@0.587296:0.831652:0.608118:0.831652:0.608118:0.816380:0.587296:0.816380:0.000000:0.000000
h:@0.503858:0.854984:0.512890:0.854984:0.512890:0.839713:0.503858:0.839713:0.000000
300 m:@0.796557:0.241289:0.830089:0.241289:0.830089:0.229892:0.796557:0.229892:0.000000:0.000000:0.000000:0.000000:0.000000
95 m:@0.887020:0.179550:0.914012:0.179550:0.914012:0.168154:0.887020:0.168154:0.000000:0.000000:0.000000:0.000000
Archivo editorial.:@0.632751:0.663341:0.695884:0.663341:0.695884:0.654733:0.632751:0.654733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 22240639 :@0.920815:0.708712:0.920815:0.636775:0.909426:0.636775:0.909426:0.708712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e Historia:@0.733044:0.319321:0.890816:0.319321:0.890816:0.303956:0.733044:0.303956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El teorema de :@0.733044:0.334408:0.828968:0.334408:0.828968:0.320163:0.733044:0.320163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pitágoras tiene ese :@0.733044:0.349496:0.861618:0.349496:0.861618:0.335251:0.733044:0.335251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nombre porque su :@0.733044:0.364583:0.861954:0.364583:0.861954:0.350338:0.733044:0.350338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
demostración fue un :@0.733044:0.379671:0.876042:0.379671:0.876042:0.365426:0.733044:0.365426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esfuerzo de la escuela :@0.733044:0.394759:0.882557:0.394759:0.882557:0.380513:0.733044:0.380513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pitagórica. Sin embargo, :@0.733044:0.409846:0.897800:0.409846:0.897800:0.395601:0.733044:0.395601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anteriormente, en :@0.733044:0.424934:0.856574:0.424934:0.856574:0.410689:0.733044:0.410689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mesopotamia y en :@0.733044:0.440021:0.860747:0.440021:0.860747:0.425776:0.733044:0.425776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el antiguo Egipto, :@0.733044:0.455109:0.853978:0.455109:0.853978:0.440864:0.733044:0.440864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se conoció que la :@0.733044:0.470197:0.853510:0.470197:0.853510:0.455951:0.733044:0.455951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pirámide de Kefrén se :@0.733044:0.485284:0.881988:0.485284:0.881988:0.471039:0.733044:0.471039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construyó basándose :@0.733044:0.500372:0.879259:0.500372:0.879259:0.486127:0.733044:0.486127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el llamado triángulo :@0.733044:0.515459:0.891352:0.515459:0.891352:0.501214:0.733044:0.501214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sagrado egipcio, de :@0.733044:0.530547:0.867045:0.530547:0.867045:0.516302:0.733044:0.516302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
proporciones 3-4-5, :@0.733044:0.545635:0.866879:0.545635:0.866879:0.531389:0.733044:0.531389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utilizando el teorema :@0.733044:0.560722:0.878034:0.560722:0.878034:0.546477:0.733044:0.546477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Pitágoras.:@0.733044:0.575810:0.817843:0.575810:0.817843:0.561565:0.733044:0.561565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.750538:0.294542:0.898785:0.294542:0.898785:0.277641:0.750538:0.277641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pirámide de Kefrén:@0.734232:0.724668:0.847671:0.724668:0.847671:0.711847:0.734232:0.711847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa :@0.732737:0.803761:0.787434:0.803761:0.787434:0.788648:0.732737:0.788648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al siguiente :@0.787434:0.803761:0.867494:0.803761:0.867494:0.789516:0.787434:0.789516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recurso web: :@0.732737:0.818849:0.821693:0.818849:0.821693:0.804603:0.732737:0.804603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.821693:0.818849:0.824741:0.818849:0.824741:0.803723:0.821693:0.803723:0.000000
lynk.ec/10m13:@0.732737:0.833936:0.830890:0.833936:0.830890:0.818811:0.732737:0.818811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Imprime:@0.732737:0.856153:0.792242:0.856153:0.792242:0.841040:0.732737:0.841040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los ejercicios :@0.792242:0.856153:0.883658:0.856153:0.883658:0.841908:0.792242:0.841908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.732737:0.871240:0.740108:0.871240:0.740108:0.856995:0.732737:0.856995:0.000000
 practica:@0.740108:0.871240:0.799429:0.871240:0.799429:0.856128:0.740108:0.856128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre el :@0.799429:0.871240:0.859402:0.871240:0.859402:0.856995:0.799429:0.856995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema de Pitágoras.:@0.732737:0.886328:0.879135:0.886328:0.879135:0.872083:0.732737:0.872083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.747928:0.778131:0.898593:0.778131:0.898593:0.761230:0.747928:0.761230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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