97:@0.942817:0.964671:0.965053:0.964671:0.965053:0.945025:0.942817:0.945025:0.000000:0.000000
M.3.2.8. Clasificar polígonos regulares e irregulares según sus lados y ángulos.:@0.105857:0.073154:0.482370:0.073154:0.482370:0.062575:0.105857:0.062575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.2.9. Calcular, en la resolución de problemas, el perímetro y área de polígonos regulares, aplicando la fórmula correspondiente.:@0.105857:0.083715:0.736055:0.083715:0.736055:0.073136:0.105857:0.073136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.2.10. Resolver problemas que impliquen el cálculo del perímetro de polígonos irregulares.                :@0.105857:0.094276:0.602039:0.094276:0.602039:0.083697:0.105857:0.083697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Maya Ediciones, (2020).:@0.921289:0.298248:0.921289:0.228989:0.909901:0.228989:0.909901:0.298248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.382458:0.654522:0.387594:0.654522:0.387594:0.634579:0.382458:0.634579:0.000000
Perímetro de polígonos regulares e irregulares:@0.096834:0.135018:0.532390:0.135018:0.532390:0.115044:0.096834:0.115044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ana quiere colocar en su terreno una cerca de alambre de púas. :@0.096834:0.159936:0.607938:0.159936:0.607938:0.142842:0.096834:0.142842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si quiere colocar una cerca de 5 vueltas, ¿cuántos metros de :@0.096834:0.178041:0.607926:0.178041:0.607926:0.160947:0.096834:0.160947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alambre necesita comprar?:@0.096834:0.196146:0.313322:0.196146:0.313322:0.179052:0.096834:0.179052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para saber cuánto alambre debe comprar Ana, es necesario :@0.096834:0.214252:0.607827:0.214252:0.607827:0.197157:0.096834:0.197157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer el perímetro del terreno.:@0.096834:0.232357:0.361102:0.232357:0.361102:0.215263:0.096834:0.215263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El terreno tiene forma de un heptágono irregular.:@0.096834:0.268567:0.489578:0.268567:0.489578:0.251473:0.096834:0.251473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096834:0.304777:0.101237:0.304777:0.101237:0.287683:0.096834:0.287683:0.000000
P = l + l + l + l + l + l + l.:@0.157143:0.304777:0.345849:0.304777:0.345849:0.287683:0.157143:0.287683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096834:0.322882:0.101237:0.322882:0.101237:0.305788:0.096834:0.305788:0.000000
P = 4,5 + 4,5 + 4 + 4,2 + 6,5 + 4 + 5,3:@0.157143:0.322882:0.447952:0.322882:0.447952:0.305788:0.157143:0.305788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096834:0.340988:0.101237:0.340988:0.101237:0.323893:0.096834:0.323893:0.000000
P =:@0.157143:0.340988:0.183619:0.340988:0.183619:0.323893:0.157143:0.323893:0.000000:0.000000:0.000000
 33 m:@0.183619:0.340988:0.228509:0.340988:0.228509:0.323893:0.183619:0.323893:0.000000:0.000000:0.000000:0.000000:0.000000
El perímetro del terreno es de 33 m, pero si Ana quiere dar 5 vueltas de :@0.096835:0.377198:0.699609:0.377198:0.699609:0.360104:0.096835:0.360104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alambre, se multiplica el perímetro por 5.:@0.096835:0.395303:0.423782:0.395303:0.423782:0.378209:0.096835:0.378209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096834:0.431513:0.101237:0.431513:0.101237:0.414419:0.096834:0.414419:0.000000
 :@0.157143:0.431513:0.161545:0.431513:0.161545:0.414419:0.157143:0.414419:0.000000
 :@0.217451:0.431513:0.221854:0.431513:0.221854:0.414419:0.217451:0.414419:0.000000
33 × 5 = :@0.277761:0.431513:0.348764:0.431513:0.348764:0.414419:0.277761:0.414419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
165 m:@0.348764:0.431513:0.399061:0.431513:0.399061:0.414419:0.348764:0.414419:0.000000:0.000000:0.000000:0.000000:0.000000
Ana debe comprar 165 m de alambre.:@0.096835:0.467724:0.400060:0.467724:0.400060:0.450629:0.096835:0.450629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096834:0.510748:0.173290:0.510748:0.173290:0.494124:0.096834:0.494124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinar cuánto suman los ángulos internos de un octágono.:@0.096834:0.536295:0.610073:0.536295:0.610073:0.519201:0.096834:0.519201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096834:0.579319:0.163561:0.579319:0.163561:0.562695:0.096834:0.562695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos la fórmula: :@0.096834:0.604866:0.273255:0.604866:0.273255:0.587772:0.096834:0.587772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096834:0.641076:0.101237:0.641076:0.101237:0.623982:0.096834:0.623982:0.000000
S = 180 (n – 2):@0.157143:0.641076:0.271187:0.641076:0.271187:0.623982:0.157143:0.623982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096834:0.659182:0.101237:0.659182:0.101237:0.642087:0.096834:0.642087:0.000000
S = 180 (8 – 2)   :@0.157143:0.659182:0.282163:0.659182:0.282163:0.642087:0.157143:0.642087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S = 180 (6) :@0.338069:0.659182:0.426884:0.659182:0.426884:0.642087:0.338069:0.642087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.458686:0.659182:0.463089:0.659182:0.463089:0.642087:0.458686:0.642087:0.000000
S =  1 080:@0.518995:0.659182:0.597155:0.659182:0.597155:0.642087:0.518995:0.642087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de los ángulos internos de un hexágono es 1 080°.:@0.096835:0.695392:0.569534:0.695392:0.569534:0.678298:0.096835:0.678298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096834:0.738417:0.173290:0.738417:0.173290:0.721793:0.096834:0.721793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encontrar el perímetro del siguiente polígono.:@0.096834:0.763964:0.465897:0.763964:0.465897:0.746869:0.096834:0.746869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096834:0.805479:0.163561:0.805479:0.163561:0.788855:0.096834:0.788855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando el polígono es regular, se puede multiplicar el número de lados :@0.096834:0.831027:0.699609:0.831027:0.699609:0.813933:0.096834:0.813933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por la medida del lado.:@0.096834:0.849132:0.280068:0.849132:0.280068:0.832038:0.096834:0.832038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  P = n × l :@0.096834:0.885342:0.176744:0.885342:0.176744:0.868248:0.096834:0.868248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P =  5 × 6,3 :@0.217452:0.885342:0.310850:0.885342:0.310850:0.868248:0.217452:0.868248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P =  31,5 m:@0.338069:0.885342:0.427145:0.885342:0.427145:0.868248:0.338069:0.868248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P = perímetro:@0.508290:0.884490:0.619115:0.884490:0.619115:0.867396:0.508290:0.867396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 l  = valor del lado:@0.506622:0.902595:0.647563:0.902595:0.647563:0.885501:0.506622:0.885501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n = número de lados:@0.508290:0.920700:0.675926:0.920700:0.675926:0.903606:0.508290:0.903606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5,3 m:@0.646571:0.204465:0.683226:0.204465:0.683226:0.190220:0.646571:0.190220:0.000000:0.000000:0.000000:0.000000:0.000000
4 m:@0.649980:0.254475:0.675545:0.254475:0.675545:0.240230:0.649980:0.240230:0.000000:0.000000:0.000000
4,5 m:@0.706851:0.167221:0.743506:0.167221:0.743506:0.152976:0.706851:0.152976:0.000000:0.000000:0.000000:0.000000:0.000000
4,5 m:@0.800375:0.175774:0.837029:0.175774:0.837029:0.161529:0.800375:0.161529:0.000000:0.000000:0.000000:0.000000:0.000000
4,2 m:@0.835883:0.260133:0.872538:0.260133:0.872538:0.245888:0.835883:0.245888:0.000000:0.000000:0.000000:0.000000:0.000000
6,5 m:@0.724269:0.294545:0.760923:0.294545:0.760923:0.280300:0.724269:0.280300:0.000000:0.000000:0.000000:0.000000:0.000000
4 m:@0.864760:0.215602:0.890324:0.215602:0.890324:0.201357:0.864760:0.201357:0.000000:0.000000:0.000000
6,3 cm.:@0.622751:0.801277:0.679200:0.801277:0.679200:0.784182:0.622751:0.784182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y defensa:@0.732458:0.734025:0.887417:0.734025:0.887417:0.718661:0.732458:0.718661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El término \polígono de :@0.732458:0.749113:0.895272:0.749113:0.895272:0.734867:0.732458:0.734867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiro\ es una superficie :@0.732458:0.764200:0.879492:0.764200:0.879492:0.749955:0.732458:0.749955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para la práctica de :@0.732458:0.779288:0.858132:0.779288:0.858132:0.765043:0.732458:0.765043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
artillerías, pueden estar :@0.732458:0.794375:0.890079:0.794375:0.890079:0.780130:0.732458:0.780130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
destinados para los :@0.732458:0.809463:0.864600:0.809463:0.864600:0.795218:0.732458:0.795218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
miembros del ejército, :@0.732458:0.824551:0.884651:0.824551:0.884651:0.810305:0.732458:0.810305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuerpos o fuerzas :@0.732458:0.839638:0.853458:0.839638:0.853458:0.825393:0.732458:0.825393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de seguridad o para :@0.732458:0.854726:0.869457:0.854726:0.869457:0.840481:0.732458:0.840481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
particulares que se :@0.732458:0.869813:0.861500:0.869813:0.861500:0.855568:0.732458:0.855568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentren habilitados :@0.732458:0.884901:0.890850:0.884901:0.890850:0.870656:0.732458:0.870656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para la utilización de :@0.732458:0.899989:0.872776:0.899989:0.872776:0.885743:0.732458:0.885743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
armamento.:@0.732458:0.915076:0.813872:0.915076:0.813872:0.900831:0.732458:0.900831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.758575:0.708621:0.904890:0.708621:0.904890:0.691845:0.758575:0.691845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los polígonos también se :@0.732463:0.393148:0.901846:0.393148:0.901846:0.378903:0.732463:0.378903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
clasifican por sus ángulos :@0.732463:0.408236:0.899450:0.408236:0.899450:0.393990:0.732463:0.393990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en::@0.732463:0.423323:0.751979:0.423323:0.751979:0.409078:0.732463:0.409078:0.000000:0.000000:0.000000
Cóncavos :@0.732463:0.445540:0.803208:0.445540:0.803208:0.430427:0.732463:0.430427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tienen algún ángulo :@0.732463:0.460627:0.869564:0.460627:0.869564:0.446382:0.732463:0.446382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interno mayor a 180°.:@0.732463:0.475715:0.869380:0.475715:0.869380:0.461470:0.732463:0.461470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Convexos:@0.732463:0.551153:0.799841:0.551153:0.799841:0.536040:0.732463:0.536040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tienen todos sus ángulos :@0.732463:0.566241:0.899734:0.566241:0.899734:0.551995:0.732463:0.551995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
internos menores a 180°.:@0.732463:0.581328:0.891409:0.581328:0.891409:0.567083:0.732463:0.567083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.782440:0.356004:0.883552:0.356004:0.883552:0.339227:0.782440:0.339227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782440:0.369834:0.870469:0.369834:0.870469:0.353058:0.782440:0.353058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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