60:@0.057273:0.966074:0.076087:0.966074:0.076087:0.949450:0.057273:0.949450:0.000000:0.000000
Tema 3:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realiza:@0.311726:0.161789:0.368244:0.161789:0.368244:0.144889:0.311726:0.144889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en tu cuaderno las siguientes operaciones::@0.368244:0.161789:0.684550:0.161789:0.684550:0.146120:0.368244:0.146120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      35:@0.311726:0.195854:0.364411:0.194315:0.364411:0.178645:0.311726:0.180184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.367816:0.194992:0.377933:0.194992:0.377933:0.179419:0.367816:0.179419:0.000000
−:@0.405612:0.194992:0.415728:0.194992:0.415728:0.179419:0.405612:0.179419:0.000000
=:@0.456814:0.194992:0.466930:0.194992:0.466930:0.179419:0.456814:0.179419:0.000000
5:@0.393213:0.194315:0.402206:0.194315:0.402206:0.178645:0.393213:0.178645:0.000000
7:@0.419601:0.185353:0.428594:0.185353:0.428594:0.169683:0.419601:0.169683:0.000000
2:@0.419958:0.204806:0.428951:0.204806:0.428951:0.189136:0.419958:0.189136:0.000000
5  :@0.443884:0.194315:0.460819:0.195864:0.460819:0.180194:0.443884:0.178645:0.000000:0.000000:0.000000
       4324 128:@0.492644:0.195864:0.624941:0.196040:0.624941:0.180370:0.492644:0.180194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.563876:0.196717:0.573993:0.196717:0.573993:0.181144:0.563876:0.181144:0.000000
−:@0.629166:0.196717:0.639282:0.196717:0.639282:0.181144:0.629166:0.181144:0.000000
=:@0.689940:0.196717:0.700057:0.196717:0.700057:0.181144:0.689940:0.181144:0.000000
2:@0.643497:0.187078:0.652490:0.187078:0.652490:0.171408:0.643497:0.171408:0.000000
5:@0.643713:0.206531:0.652706:0.206531:0.652706:0.190861:0.643713:0.190861:0.000000
50  :@0.667428:0.196040:0.693042:0.195860:0.693042:0.180190:0.667428:0.180370:0.000000:0.000000:0.000000:0.000000
−:@0.736872:0.196834:0.746989:0.196834:0.746989:0.181261:0.736872:0.181261:0.000000
−:@0.796024:0.196834:0.806141:0.196834:0.806141:0.181261:0.796024:0.181261:0.000000
=:@0.852302:0.196834:0.862419:0.196834:0.862419:0.181261:0.852302:0.181261:0.000000
3:@0.750326:0.187198:0.759318:0.187198:0.759318:0.171529:0.750326:0.171529:0.000000
7:@0.749749:0.206646:0.758742:0.206646:0.758742:0.190976:0.749749:0.190976:0.000000
96:@0.774040:0.196157:0.791823:0.196157:0.791823:0.180487:0.774040:0.180487:0.000000:0.000000
729:@0.820994:0.196157:0.847567:0.196157:0.847567:0.180487:0.820994:0.180487:0.000000:0.000000:0.000000
5:@0.763622:0.189319:0.768834:0.189319:0.768834:0.180238:0.763622:0.180238:0.000000
5:@0.810997:0.189319:0.816209:0.189319:0.816209:0.180238:0.810997:0.180238:0.000000
Saberes previos:@0.345419:0.135161:0.470927:0.135161:0.470927:0.118260:0.345419:0.118260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Racionalización de números reales:@0.305303:0.083049:0.753390:0.083049:0.753390:0.055393:0.305303:0.055393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La racionalización de números reales es el proceso que se aplica sobre una ex-:@0.305303:0.248314:0.903649:0.248314:0.903649:0.232645:0.305303:0.232645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presión fraccionaria que contiene raíces de índice n, mediante el cual se eliminan :@0.305303:0.264911:0.907666:0.264911:0.907666:0.249241:0.305303:0.249241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dichas raíces del denominador y en ocasiones del numerador, obteniendo una :@0.305303:0.281507:0.907647:0.281507:0.907647:0.265837:0.305303:0.265837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión equivalente a la original.:@0.305303:0.298104:0.558274:0.298104:0.558274:0.282434:0.305303:0.282434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos el siguiente ejemplo: :@0.305303:0.321823:0.523982:0.321823:0.523982:0.306153:0.305303:0.306153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Wilma elabora banderines para adornar las calles de su barrio, a propósito de la :@0.305303:0.345542:0.907647:0.345542:0.907647:0.329872:0.305303:0.329872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundación de la ciudad donde habita. Estos banderines están conformados por :@0.305303:0.362138:0.907646:0.362138:0.907646:0.346468:0.305303:0.346468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algunos triángulos de medidas diferentes, como se muestra en la figura. ¿Cuántas :@0.305303:0.378734:0.907712:0.378734:0.907712:0.363065:0.305303:0.363065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
veces más grande es el lado del triángulo grande con respecto al lado del triángulo :@0.305303:0.395331:0.907758:0.395331:0.907758:0.379661:0.305303:0.379661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeño? Expresar el valor exacto.:@0.305303:0.411927:0.558053:0.411927:0.558053:0.396257:0.305303:0.396257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como primer paso, calculamos el valor de los lados de cada triángulo. Estos lados :@0.305303:0.435646:0.907756:0.435646:0.907756:0.419976:0.305303:0.419976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponden a la hipotenusa de los triángulos rectángulos que se forman entre la :@0.305303:0.452242:0.907611:0.452242:0.907611:0.436573:0.305303:0.436573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
altura y la mitad de la base de los triángulos.:@0.305303:0.468839:0.628461:0.468839:0.628461:0.453169:0.305303:0.453169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.341425:0.641373:0.347561:0.641373:0.347561:0.616145:0.341425:0.616145:0.000000
) (:@0.395823:0.641373:0.429963:0.641373:0.429963:0.616145:0.395823:0.616145:0.000000:0.000000:0.000000
):@0.477432:0.641373:0.483569:0.641373:0.483569:0.616145:0.477432:0.616145:0.000000
=:@0.315929:0.637238:0.326046:0.637238:0.326046:0.621665:0.315929:0.621665:0.000000
+:@0.411366:0.637238:0.421483:0.637238:0.421483:0.621665:0.411366:0.621665:0.000000
=:@0.315929:0.666352:0.326046:0.666352:0.326046:0.650779:0.315929:0.650779:0.000000
=:@0.315929:0.691924:0.326046:0.691924:0.326046:0.676351:0.315929:0.676351:0.000000
⋅:@0.359695:0.691924:0.364302:0.691924:0.364302:0.676351:0.359695:0.676351:0.000000
=:@0.315929:0.717496:0.326046:0.717496:0.326046:0.701923:0.315929:0.701923:0.000000
⋅:@0.391833:0.717496:0.396440:0.717496:0.396440:0.701923:0.391833:0.701923:0.000000
=:@0.315929:0.743086:0.326046:0.743086:0.326046:0.727513:0.315929:0.727513:0.000000
l:@0.307920:0.636560:0.311716:0.636560:0.311716:0.620199:0.307920:0.620199:0.000000
cm:@0.373264:0.636560:0.395163:0.636560:0.395163:0.620199:0.373264:0.620199:0.000000:0.000000
cm:@0.454869:0.636560:0.476779:0.636560:0.476779:0.620199:0.454869:0.620199:0.000000:0.000000
l:@0.307927:0.665673:0.311723:0.665673:0.311723:0.649312:0.307927:0.649312:0.000000
cm:@0.375575:0.665673:0.397467:0.665673:0.397467:0.649312:0.375575:0.649312:0.000000:0.000000
l:@0.307927:0.691245:0.311723:0.691245:0.311723:0.674884:0.307927:0.674884:0.000000
cm:@0.397872:0.691245:0.419782:0.691245:0.419782:0.674884:0.397872:0.674884:0.000000:0.000000
l:@0.307927:0.716817:0.311723:0.716817:0.311723:0.700456:0.307927:0.700456:0.000000
cm:@0.359487:0.716817:0.381398:0.716817:0.381398:0.700456:0.359487:0.700456:0.000000:0.000000
l:@0.307927:0.742390:0.311723:0.742390:0.311723:0.726028:0.307927:0.726028:0.000000
cm:@0.382835:0.742390:0.404745:0.742390:0.404745:0.726028:0.382835:0.726028:0.000000:0.000000
22:@0.348283:0.636546:0.366066:0.636546:0.366066:0.620877:0.348283:0.620877:0.000000:0.000000
16:@0.429531:0.636546:0.447313:0.636546:0.447313:0.620877:0.429531:0.620877:0.000000:0.000000
740:@0.341428:0.665659:0.368001:0.665659:0.368001:0.649989:0.341428:0.649989:0.000000:0.000000:0.000000
2 185:@0.341852:0.691231:0.391091:0.691231:0.391091:0.675562:0.341852:0.675562:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.342589:0.716804:0.351582:0.716804:0.351582:0.701134:0.342589:0.701134:0.000000
185:@0.409187:0.716804:0.435759:0.716804:0.435759:0.701134:0.409187:0.701134:0.000000:0.000000:0.000000
2 185:@0.329358:0.742376:0.376090:0.742376:0.376090:0.726706:0.329358:0.726706:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.401839:0.625244:0.407051:0.625244:0.407051:0.616163:0.401839:0.616163:0.000000
2:@0.483453:0.625244:0.488665:0.625244:0.488665:0.616163:0.483453:0.616163:0.000000
2:@0.397703:0.658013:0.402914:0.658013:0.402914:0.648932:0.397703:0.648932:0.000000
2:@0.350958:0.683590:0.356170:0.683590:0.356170:0.674509:0.350958:0.674509:0.000000
2:@0.420013:0.683590:0.425224:0.683590:0.425224:0.674509:0.420013:0.674509:0.000000
2:@0.381641:0.709167:0.386852:0.709167:0.386852:0.700085:0.381641:0.700085:0.000000
 :@0.494605:0.746574:0.498641:0.746574:0.498641:0.730904:0.494605:0.730904:0.000000
       :@0.546534:0.746574:0.574784:0.746574:0.574784:0.730904:0.546534:0.730904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.613631:0.640116:0.619767:0.640116:0.619767:0.614888:0.613631:0.614888:0.000000
) (:@0.668029:0.640116:0.702168:0.640116:0.702168:0.614888:0.668029:0.614888:0.000000:0.000000:0.000000
):@0.749637:0.640116:0.755774:0.640116:0.755774:0.614888:0.749637:0.614888:0.000000
=:@0.588136:0.635981:0.598252:0.635981:0.598252:0.620408:0.588136:0.620408:0.000000
+:@0.683572:0.635981:0.693689:0.635981:0.693689:0.620408:0.683572:0.620408:0.000000
=:@0.588136:0.665095:0.598252:0.665095:0.598252:0.649522:0.588136:0.649522:0.000000
=:@0.588136:0.690667:0.598252:0.690667:0.598252:0.675094:0.588136:0.675094:0.000000
⋅:@0.632104:0.690667:0.636711:0.690667:0.636711:0.675094:0.632104:0.675094:0.000000
=:@0.588136:0.716239:0.598252:0.716239:0.598252:0.700666:0.588136:0.700666:0.000000
⋅:@0.663044:0.716239:0.667651:0.716239:0.667651:0.700666:0.663044:0.700666:0.000000
=:@0.588136:0.742448:0.598252:0.742448:0.598252:0.726875:0.588136:0.726875:0.000000
L:@0.577411:0.635290:0.585040:0.635290:0.585040:0.618929:0.577411:0.618929:0.000000
cm:@0.645464:0.635290:0.667368:0.635303:0.667368:0.618942:0.645464:0.618929:0.000000:0.000000
cm:@0.727073:0.635303:0.748984:0.635303:0.748984:0.618942:0.727073:0.618942:0.000000:0.000000
L:@0.577404:0.664416:0.585033:0.664416:0.585033:0.648054:0.577404:0.648054:0.000000
cm:@0.655832:0.664416:0.677743:0.664416:0.677743:0.648054:0.655832:0.648054:0.000000:0.000000
L:@0.577404:0.689988:0.585033:0.689988:0.585033:0.673627:0.577404:0.673627:0.000000
cm:@0.653842:0.689988:0.675752:0.689988:0.675752:0.673627:0.653842:0.673627:0.000000:0.000000
L:@0.577404:0.715560:0.585033:0.715560:0.585033:0.699199:0.577404:0.699199:0.000000
cm:@0.630697:0.715560:0.652607:0.715560:0.652607:0.699199:0.630697:0.699199:0.000000:0.000000
L:@0.577404:0.741769:0.585033:0.741769:0.585033:0.725407:0.577404:0.725407:0.000000
cm:@0.646618:0.741769:0.668529:0.741769:0.668529:0.725407:0.646618:0.725407:0.000000:0.000000
32:@0.620506:0.635289:0.638289:0.635289:0.638289:0.619619:0.620506:0.619619:0.000000:0.000000
16:@0.701754:0.635289:0.719536:0.635289:0.719536:0.619619:0.701754:0.619619:0.000000:0.000000
1280:@0.612914:0.664402:0.648277:0.664402:0.648277:0.648732:0.612914:0.648732:0.000000:0.000000:0.000000:0.000000
25:@0.614057:0.689974:0.647079:0.689974:0.647079:0.674304:0.614057:0.674304:0.000000:0.000000
2:@0.614057:0.715546:0.623049:0.715546:0.623049:0.699877:0.614057:0.699877:0.000000
5:@0.681539:0.715546:0.690531:0.715546:0.690531:0.699877:0.681539:0.699877:0.000000
16 5:@0.600402:0.741755:0.639855:0.741755:0.639855:0.726085:0.600402:0.726085:0.000000:0.000000:0.000000:0.000000
2:@0.674044:0.623987:0.679255:0.623987:0.679255:0.614906:0.674044:0.614906:0.000000
2:@0.755657:0.623987:0.760869:0.623987:0.760869:0.614906:0.755657:0.614906:0.000000
2:@0.677970:0.656756:0.683182:0.656756:0.683182:0.647675:0.677970:0.647675:0.000000
8:@0.623162:0.682333:0.628374:0.682333:0.628374:0.673251:0.623162:0.673251:0.000000
2:@0.675984:0.682333:0.681196:0.682333:0.681196:0.673251:0.675984:0.673251:0.000000
8:@0.623162:0.707909:0.628374:0.707909:0.628374:0.698828:0.623162:0.698828:0.000000
2:@0.652841:0.707909:0.658053:0.707909:0.658053:0.698828:0.652841:0.698828:0.000000
Para conocer cuántas veces más grande es un lado con respecto al otro, debemos :@0.305303:0.770298:0.907682:0.770298:0.907682:0.754628:0.305303:0.754628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividir el lado mayor para el lado menor.:@0.305303:0.786894:0.599239:0.786894:0.599239:0.771225:0.305303:0.771225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reemplazamos los valores y aplicamos propiedades hasta expresar la respuesta :@0.305303:0.810613:0.907647:0.810613:0.907647:0.794944:0.305303:0.794944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más simplificada.:@0.305303:0.827210:0.430519:0.827210:0.430519:0.811540:0.305303:0.811540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.321583:0.865448:0.331700:0.865448:0.331700:0.849875:0.321583:0.849875:0.000000
=:@0.416338:0.865448:0.426455:0.865448:0.426455:0.849875:0.416338:0.849875:0.000000
=:@0.483710:0.865448:0.493826:0.865448:0.493826:0.849875:0.483710:0.849875:0.000000
=:@0.544226:0.865448:0.554343:0.865448:0.554343:0.849875:0.544226:0.849875:0.000000
=⋅:@0.605903:0.865448:0.634853:0.865448:0.634853:0.849875:0.605903:0.849875:0.000000:0.000000
=:@0.674178:0.865448:0.684294:0.865448:0.684294:0.849875:0.674178:0.849875:0.000000
L:@0.309403:0.855808:0.317032:0.855808:0.317032:0.839447:0.309403:0.839447:0.000000
l:@0.310766:0.875254:0.314562:0.875254:0.314562:0.858892:0.310766:0.858892:0.000000
cm:@0.385730:0.855808:0.407640:0.855808:0.407640:0.839447:0.385730:0.839447:0.000000:0.000000
cm:@0.389968:0.878435:0.411879:0.878435:0.411879:0.862073:0.389968:0.862073:0.000000:0.000000
16 5:@0.339495:0.855808:0.378948:0.855808:0.378948:0.840139:0.339495:0.840139:0.000000:0.000000:0.000000:0.000000
2 185:@0.336454:0.878435:0.383187:0.878435:0.383187:0.862765:0.336454:0.862765:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.429753:0.864757:0.438746:0.864757:0.438746:0.849087:0.429753:0.849087:0.000000
5:@0.461117:0.855794:0.470110:0.855794:0.470110:0.840125:0.461117:0.840125:0.000000
185:@0.451738:0.875240:0.478310:0.875240:0.478310:0.859570:0.451738:0.859570:0.000000:0.000000:0.000000
8:@0.497125:0.864743:0.506118:0.864743:0.506118:0.849073:0.497125:0.849073:0.000000
1:@0.525596:0.855781:0.534588:0.855781:0.534588:0.840111:0.525596:0.840111:0.000000
37:@0.520252:0.875226:0.538034:0.875226:0.538034:0.859556:0.520252:0.859556:0.000000:0.000000
8:@0.557623:0.864729:0.566615:0.864729:0.566615:0.849059:0.557623:0.849059:0.000000
1:@0.587310:0.855767:0.596302:0.855767:0.596302:0.840097:0.587310:0.840097:0.000000
37:@0.581910:0.875918:0.599693:0.875918:0.599693:0.860248:0.581910:0.860248:0.000000:0.000000
8:@0.619282:0.864715:0.628274:0.864715:0.628274:0.849045:0.619282:0.849045:0.000000
1:@0.650019:0.855753:0.659012:0.855753:0.659012:0.840083:0.650019:0.840083:0.000000
37:@0.650185:0.875904:0.667967:0.875904:0.667967:0.860234:0.650185:0.860234:0.000000:0.000000
8:@0.700437:0.855753:0.709430:0.855753:0.709430:0.840083:0.700437:0.840083:0.000000
37:@0.701543:0.875904:0.719325:0.875904:0.719325:0.860234:0.701543:0.860234:0.000000:0.000000
El lado del triángulo más grande es :@0.305293:0.907036:0.567253:0.907036:0.567253:0.891366:0.305293:0.891366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.579667:0.896887:0.588660:0.896887:0.588660:0.881217:0.579667:0.881217:0.000000
37:@0.580773:0.917038:0.598556:0.917038:0.598556:0.901368:0.580773:0.901368:0.000000:0.000000
 cm más grande que el lado del triángulo :@0.600859:0.907094:0.907688:0.907094:0.907688:0.891424:0.600859:0.891424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeño.:@0.305317:0.924700:0.375692:0.924700:0.375692:0.909030:0.305317:0.909030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
32 cm:@0.107607:0.432468:0.137815:0.432468:0.137815:0.421713:0.107607:0.421713:0.000000:0.000000:0.000000:0.000000:0.000000
32 cm:@0.151734:0.432468:0.181942:0.432468:0.181942:0.421713:0.151734:0.421713:0.000000:0.000000:0.000000:0.000000:0.000000
22 cm:@0.071559:0.469925:0.101767:0.469925:0.101767:0.459170:0.071559:0.459170:0.000000:0.000000:0.000000:0.000000:0.000000
32 cm:@0.111899:0.485741:0.142107:0.485741:0.142107:0.474986:0.111899:0.474986:0.000000:0.000000:0.000000:0.000000:0.000000
32 :@0.705696:0.563712:0.725087:0.563712:0.725087:0.549581:0.705696:0.549581:0.000000:0.000000:0.000000
cm:@0.725087:0.563712:0.744369:0.563712:0.744369:0.549569:0.725087:0.549569:0.000000:0.000000
L:@0.771936:0.531853:0.778860:0.531853:0.778860:0.517711:0.771936:0.517711:0.000000
l:@0.547823:0.538825:0.551410:0.538825:0.551410:0.524682:0.547823:0.524682:0.000000
22 :@0.484581:0.565931:0.503972:0.565931:0.503972:0.551800:0.484581:0.551800:0.000000:0.000000:0.000000
cm:@0.503972:0.565931:0.523254:0.565931:0.523254:0.551788:0.503972:0.551788:0.000000:0.000000
16 :@0.516205:0.598259:0.535597:0.598259:0.535597:0.584129:0.516205:0.584129:0.000000:0.000000:0.000000
cm:@0.535597:0.598259:0.554878:0.598259:0.554878:0.584117:0.535597:0.584117:0.000000:0.000000
16 :@0.739066:0.598259:0.758457:0.598259:0.758457:0.584129:0.739066:0.584129:0.000000:0.000000:0.000000
cm:@0.758457:0.598259:0.777739:0.598259:0.777739:0.584117:0.758457:0.584117:0.000000:0.000000
Respeta y entiende el :@0.106529:0.273449:0.253448:0.273449:0.253448:0.259204:0.106529:0.259204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
criterio y los puntos :@0.106529:0.288537:0.241351:0.288537:0.241351:0.274292:0.106529:0.274292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de vista de tus :@0.106529:0.303624:0.206106:0.303624:0.206106:0.289379:0.106529:0.289379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
compañeros cuando :@0.106529:0.318712:0.248824:0.318712:0.248824:0.304467:0.106529:0.304467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trabajes en grupo. :@0.106529:0.333800:0.230763:0.333800:0.230763:0.319554:0.106529:0.319554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reflexiona  comenta :@0.106529:0.356016:0.259311:0.356016:0.259311:0.340903:0.106529:0.340903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.182904:0.356016:0.193943:0.356016:0.193943:0.341771:0.182904:0.341771:0.000000:0.000000
en la clase.:@0.106529:0.371104:0.177876:0.371104:0.177876:0.356858:0.106529:0.356858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136865:0.236464:0.247891:0.236464:0.247891:0.219564:0.136865:0.219564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.136865:0.250295:0.259482:0.250295:0.259482:0.233394:0.136865:0.233394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.36:@0.096359:0.944593:0.137860:0.944593:0.137860:0.933838:0.096359:0.933838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Reescribir expresiones numéricas o algebraicas con raíces en el denominador utilizando propiedades en   (racionalización).:@0.137625:0.944593:0.689706:0.944593:0.689706:0.934621:0.137625:0.934621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.605378:0.944963:0.613845:0.944963:0.613845:0.933759:0.605378:0.933759:0.000000
Shutterstock, 662536774.:@0.091447:0.878437:0.091447:0.803158:0.080059:0.803158:0.080059:0.878437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Como muestra de :@0.106105:0.583615:0.230056:0.583615:0.230056:0.569370:0.106105:0.569370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identidad, las ciudades :@0.106105:0.598703:0.261549:0.598703:0.261549:0.584458:0.106105:0.584458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se embanderan a :@0.106105:0.613790:0.225533:0.613790:0.225533:0.599545:0.106105:0.599545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propósito de las :@0.106105:0.628878:0.216570:0.628878:0.216570:0.614633:0.106105:0.614633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fechas cívicas. Los :@0.106105:0.643966:0.228161:0.643966:0.228161:0.629720:0.106105:0.629720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
municipios, a través de :@0.106105:0.659053:0.261783:0.659053:0.261783:0.644808:0.106105:0.644808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenanzas, obligan a :@0.106105:0.674141:0.255436:0.674141:0.255436:0.659896:0.106105:0.659896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los propietarios de las :@0.106105:0.689229:0.254429:0.689229:0.254429:0.674983:0.106105:0.674983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
viviendas a cumplir con :@0.106105:0.704316:0.267296:0.704316:0.267296:0.690071:0.106105:0.690071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta actividad que suma :@0.106105:0.719404:0.270999:0.719404:0.270999:0.705159:0.106105:0.705159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colorido a los desfiles :@0.106105:0.734491:0.252052:0.734491:0.252052:0.720246:0.106105:0.720246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y coreografías que se :@0.106105:0.749579:0.250075:0.749579:0.250075:0.735334:0.106105:0.735334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presentan.:@0.106105:0.764667:0.176264:0.764667:0.176264:0.750421:0.106105:0.750421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.136439:0.557854:0.266163:0.557854:0.266163:0.539553:0.136439:0.539553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Grupo de niños bailando en :@0.105370:0.885981:0.257589:0.885981:0.257589:0.874585:0.105370:0.874585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las calles de Baños de Agua :@0.105370:0.897297:0.254075:0.897297:0.254075:0.885901:0.105370:0.885901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Santa - Ecuador:@0.105370:0.908612:0.188688:0.908612:0.188688:0.897216:0.105370:0.897216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.473370:0.187795:0.478258:0.187795:0.478258:0.179278:0.473370:0.179278:0.000000
2:@0.470239:0.198367:0.475127:0.198367:0.475127:0.189849:0.470239:0.189849:0.000000
−:@0.669400:0.206219:0.675546:0.206219:0.675546:0.196758:0.669400:0.196758:0.000000
18 2:@0.675442:0.205807:0.699410:0.205807:0.699410:0.196288:0.675442:0.196288:0.000000:0.000000:0.000000:0.000000
−:@0.849577:0.192895:0.855723:0.192895:0.855723:0.183435:0.849577:0.183435:0.000000
27:@0.857660:0.187039:0.868463:0.187039:0.868463:0.177520:0.857660:0.177520:0.000000:0.000000
7:@0.860200:0.198857:0.865663:0.198857:0.865663:0.189337:0.860200:0.189337:0.000000
3:@0.877756:0.192483:0.883219:0.192483:0.883219:0.182964:0.877756:0.182964:0.000000
5:@0.871427:0.188330:0.874593:0.188330:0.874593:0.182813:0.871427:0.182813:0.000000