43:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento numérico:@0.721207:0.043661:0.926911:0.043661:0.926911:0.024916:0.721207:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4.1.5 Racionalización de números reales:@0.073089:0.136836:0.373409:0.136836:0.373409:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La racionalización de números reales es el proceso que se aplica sobre una expresión :@0.073089:0.167776:0.710482:0.167776:0.710482:0.151342:0.073089:0.151342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fraccionaria que contiene raíces de índice , mediante el cual se eliminan dichas raíces :@0.073089:0.184418:0.710188:0.184418:0.710188:0.167984:0.073089:0.167984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.382055:0.184418:0.391553:0.184418:0.391553:0.168012:0.382055:0.168012:0.000000 del denominador y, en ocasiones, del numerador; así se obtiene una expresión :@0.073089:0.201060:0.710403:0.201060:0.710403:0.184626:0.073089:0.184626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 equivalente a la original.:@0.073089:0.217702:0.248370:0.217702:0.248370:0.201268:0.073089:0.201268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Veamos el siguiente ejemplo: :@0.073089:0.248642:0.289525:0.248642:0.289525:0.232208:0.073089:0.232208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Wilma elabora banderines para adornar las calles de su barrio, a propósito de la :@0.073089:0.279582:0.710812:0.279582:0.710812:0.263148:0.073089:0.263148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fundación de la ciudad donde habita. Estos banderines están conformados por :@0.073089:0.296223:0.710602:0.296223:0.710602:0.279790:0.073089:0.279790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 algunos triángulos de medidas diferentes, como se muestra en la figura. ¿Cuántas :@0.073089:0.312865:0.709903:0.312865:0.709903:0.296431:0.073089:0.296431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 veces más grande es el lado del triángulo grande con respecto al lado del triángulo :@0.073089:0.329507:0.710085:0.329507:0.710085:0.313073:0.073089:0.313073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pequeño? Expresar el valor exacto.:@0.073089:0.346149:0.329180:0.346149:0.329180:0.329715:0.073089:0.329715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Como primer paso, calculamos el valor de los lados de cada triángulo. Estos lados :@0.073089:0.377089:0.710738:0.377089:0.710738:0.360655:0.073089:0.360655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 corresponden a la hipotenusa de los triángulos rectángulos que se forman entre la altura :@0.073089:0.393731:0.710015:0.393731:0.710015:0.377297:0.073089:0.377297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y la mitad de la base de los triángulos.:@0.073089:0.410373:0.347473:0.410373:0.347473:0.393939:0.073089:0.393939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 32 cm:@0.470196:0.516353:0.515183:0.516353:0.515183:0.499919:0.470196:0.499919:0.000000:0.000000:0.000000:0.000000:0.000000 L:@0.555035:0.484415:0.562655:0.484415:0.562655:0.468009:0.555035:0.468009:0.000000 l:@0.333080:0.491404:0.336872:0.491404:0.336872:0.474998:0.333080:0.474998:0.000000 22 cm:@0.249325:0.518578:0.294313:0.518578:0.294313:0.502145:0.249325:0.502145:0.000000:0.000000:0.000000:0.000000:0.000000 16 cm:@0.280912:0.551002:0.325900:0.551002:0.325900:0.534568:0.280912:0.534568:0.000000:0.000000:0.000000:0.000000:0.000000 16 cm:@0.503530:0.551002:0.548517:0.551002:0.548517:0.534568:0.503530:0.534568:0.000000:0.000000:0.000000:0.000000:0.000000 I:@0.073094:0.583551:0.076923:0.583551:0.076923:0.567145:0.073094:0.567145:0.000000 (22 cm) (16 cm) :@0.076849:0.583551:0.257851:0.583550:0.257851:0.567116:0.076849:0.567117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.080807:0.582996:0.096140:0.582996:0.096140:0.569281:0.080807:0.569281:0.000000 2:@0.159640:0.577486:0.164877:0.577486:0.164877:0.567905:0.159640:0.567905:0.000000 1:@0.168787:0.582995:0.184120:0.582995:0.184120:0.569279:0.168787:0.569279:0.000000 2:@0.242444:0.577486:0.247681:0.577486:0.247681:0.567905:0.242444:0.567905:0.000000 :@0.314062:0.583550:0.318093:0.583550:0.318093:0.567116:0.314062:0.567116:0.000000 L:@0.374299:0.583550:0.381920:0.583550:0.381920:0.567144:0.374299:0.567144:0.000000 (32 cm) (16 cm):@0.381846:0.583550:0.547583:0.583550:0.547583:0.567116:0.381846:0.567116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.385803:0.582995:0.401137:0.582995:0.401137:0.569279:0.385803:0.569279:0.000000 2:@0.464640:0.577486:0.469877:0.577486:0.469877:0.567905:0.464640:0.567905:0.000000 1:@0.473788:0.582995:0.489122:0.582995:0.489122:0.569279:0.473788:0.569279:0.000000 2:@0.547446:0.577486:0.552683:0.577486:0.552683:0.567905:0.547446:0.567905:0.000000 I:@0.073089:0.614487:0.076918:0.614487:0.076918:0.598081:0.073089:0.598081:0.000000 740 cm:@0.076844:0.614487:0.159069:0.614487:0.159069:0.598053:0.076844:0.598053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.080801:0.613932:0.096135:0.613932:0.096135:0.600217:0.080801:0.600217:0.000000 2:@0.158947:0.608423:0.164184:0.608423:0.164184:0.598842:0.158947:0.598842:0.000000 L:@0.374299:0.614487:0.381920:0.614487:0.381920:0.598081:0.374299:0.598081:0.000000 1280 cm:@0.381846:0.614487:0.472974:0.614487:0.472974:0.598053:0.381846:0.598053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.385803:0.613932:0.401137:0.613932:0.401137:0.600217:0.385803:0.600217:0.000000 2:@0.472851:0.608423:0.478088:0.608423:0.478088:0.598842:0.472851:0.598842:0.000000 I:@0.073089:0.645425:0.076918:0.645425:0.076918:0.629018:0.073089:0.629018:0.000000 2 185 cm:@0.076844:0.645425:0.196311:0.645425:0.196311:0.628991:0.076844:0.628991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.080801:0.644870:0.096135:0.644870:0.096135:0.631154:0.080801:0.631154:0.000000 2:@0.114068:0.639361:0.119305:0.639361:0.119305:0.629780:0.114068:0.629780:0.000000 3:@0.123216:0.644870:0.138549:0.644870:0.138549:0.631154:0.123216:0.631154:0.000000 2:@0.196182:0.639361:0.201419:0.639361:0.201419:0.629780:0.196182:0.629780:0.000000 L:@0.374299:0.645425:0.381920:0.645425:0.381920:0.629018:0.374299:0.629018:0.000000 2 5cm:@0.381846:0.645425:0.479537:0.645425:0.479537:0.628991:0.381846:0.628991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.385803:0.644870:0.401137:0.644870:0.401137:0.631154:0.385803:0.631154:0.000000 8:@0.419070:0.639361:0.424307:0.639361:0.424307:0.629780:0.419070:0.629780:0.000000 3:@0.428217:0.644870:0.443550:0.644870:0.443550:0.631154:0.428217:0.631154:0.000000 2:@0.479428:0.639361:0.484665:0.639361:0.484665:0.629780:0.479428:0.629780:0.000000 I :@0.073089:0.676361:0.080157:0.676361:0.080157:0.659955:0.073089:0.659955:0.000000:0.000000 5:@0.080102:0.675806:0.095435:0.675806:0.095435:0.662090:0.080102:0.662090:0.000000 4 cm 185:@0.095340:0.676361:0.204696:0.676361:0.204696:0.659927:0.095340:0.659927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.140440:0.670297:0.145677:0.670297:0.145677:0.660716:0.140440:0.660716:0.000000 3:@0.149587:0.675806:0.164920:0.675806:0.164920:0.662090:0.149587:0.662090:0.000000 L:@0.374299:0.676361:0.381920:0.676361:0.381920:0.659955:0.374299:0.659955:0.000000 2 cm 5:@0.381846:0.676361:0.497768:0.676361:0.497768:0.659927:0.381846:0.659927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.385803:0.675806:0.401137:0.675806:0.401137:0.662090:0.385803:0.662090:0.000000 8:@0.419070:0.670297:0.424307:0.670297:0.424307:0.660716:0.419070:0.660716:0.000000 2:@0.451335:0.670297:0.456572:0.670297:0.456572:0.660716:0.451335:0.660716:0.000000 3:@0.460482:0.675806:0.475815:0.675806:0.475815:0.662090:0.460482:0.662090:0.000000 I:@0.073089:0.707298:0.076918:0.707298:0.076918:0.690892:0.073089:0.690892:0.000000 :@0.076844:0.707298:0.080875:0.707298:0.080875:0.690864:0.076844:0.690864:0.000000 5 :@0.080801:0.706743:0.100645:0.706743:0.100645:0.693028:0.080801:0.693028:0.000000:0.000000 2 185 cm:@0.100553:0.707298:0.172469:0.707298:0.172469:0.690864:0.100553:0.690864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L:@0.374299:0.707298:0.381920:0.707298:0.381920:0.690892:0.374299:0.690892:0.000000 :@0.381846:0.707298:0.385877:0.707298:0.385877:0.690864:0.381846:0.690864:0.000000 5 :@0.385803:0.706743:0.405647:0.706743:0.405647:0.693028:0.385803:0.693028:0.000000:0.000000 16 5 cm:@0.405554:0.707298:0.468559:0.707298:0.468559:0.690864:0.405554:0.690864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para conocer cuántas veces más grande es un lado con respecto al otro, debemos dividir :@0.073079:0.738238:0.710504:0.738238:0.710504:0.721804:0.073079:0.721804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el lado mayor entre el lado menor.:@0.073079:0.754880:0.321216:0.754880:0.321216:0.738446:0.073079:0.738446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Reemplazamos los valores y aplicamos propiedades hasta expresar la respuesta más :@0.073079:0.785820:0.710412:0.785820:0.710412:0.769386:0.073079:0.769386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 simplificada.:@0.073079:0.802462:0.162704:0.802462:0.162704:0.786028:0.073079:0.786028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L:@0.078291:0.831712:0.085912:0.831712:0.085912:0.815306:0.078291:0.815306:0.000000 I:@0.080187:0.845691:0.084016:0.845691:0.084016:0.829285:0.080187:0.829285:0.000000 :@0.091029:0.837828:0.114259:0.837828:0.114259:0.821394:0.091029:0.821394:0.000000:0.000000:0.000000 5:@0.094986:0.837273:0.110320:0.837273:0.110320:0.823558:0.094986:0.823558:0.000000 16 5 cm:@0.125549:0.831712:0.188561:0.831712:0.188561:0.815278:0.125549:0.815278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 185 cm:@0.121098:0.845686:0.193026:0.845686:0.193026:0.829253:0.121098:0.829253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8 :@0.199825:0.837822:0.235915:0.837822:0.235915:0.821388:0.199825:0.821388:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.203783:0.837267:0.219116:0.837267:0.219116:0.823551:0.203783:0.823551:0.000000 5:@0.252937:0.831712:0.261919:0.831712:0.261919:0.815278:0.252937:0.815278:0.000000 185:@0.244027:0.845691:0.270828:0.845691:0.270828:0.829258:0.244027:0.829258:0.000000:0.000000:0.000000 8 :@0.273774:0.837828:0.309872:0.837822:0.309872:0.821388:0.273774:0.821394:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.277731:0.837273:0.293064:0.837273:0.293064:0.823558:0.277731:0.823558:0.000000 1:@0.325367:0.831712:0.334350:0.831712:0.334350:0.815278:0.325367:0.815278:0.000000 37:@0.320913:0.845691:0.338805:0.845691:0.338805:0.829258:0.320913:0.829258:0.000000:0.000000 8 :@0.344677:0.837828:0.380777:0.837822:0.380777:0.821388:0.344677:0.821394:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.348634:0.837273:0.363967:0.837273:0.363967:0.823558:0.348634:0.823558:0.000000 1:@0.394741:0.831712:0.412847:0.831712:0.412847:0.815278:0.394741:0.815278:0.000000:0.000000:0.000000 37:@0.390290:0.845686:0.417305:0.845686:0.417305:0.829253:0.390290:0.829253:0.000000:0.000000:0.000000:0.000000 8 :@0.421652:0.837822:0.476929:0.837822:0.476929:0.821388:0.421652:0.821388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 3:@0.425610:0.837267:0.472990:0.837267:0.472990:0.823551:0.425610:0.823551:0.000000:0.000000:0.000000 1:@0.492467:0.831712:0.501450:0.831712:0.501450:0.815278:0.492467:0.815278:0.000000 37:@0.483454:0.845686:0.510469:0.845686:0.510469:0.829253:0.483454:0.829253:0.000000:0.000000:0.000000:0.000000 :@0.516995:0.837822:0.540225:0.837822:0.540225:0.821388:0.516995:0.821388:0.000000:0.000000:0.000000 5:@0.520953:0.837267:0.536286:0.837267:0.536286:0.823551:0.520953:0.823551:0.000000 8:@0.555423:0.831712:0.564406:0.831712:0.564406:0.815278:0.555423:0.815278:0.000000 37:@0.546410:0.845686:0.573425:0.845686:0.573425:0.829253:0.546410:0.829253:0.000000:0.000000:0.000000:0.000000 El lado del triángulo más grande es :@0.073089:0.874555:0.385241:0.874555:0.385241:0.858121:0.073089:0.858121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.402583:0.867079:0.411565:0.867079:0.411565:0.850645:0.402583:0.850645:0.000000 37:@0.398128:0.883083:0.416020:0.883083:0.416020:0.866649:0.398128:0.866649:0.000000:0.000000 cm más grande que el lado del :@0.424900:0.874555:0.710484:0.874555:0.710484:0.858121:0.424900:0.858121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.706347:0.874555:0.710379:0.874555:0.710379:0.858121:0.706347:0.858121:0.000000 triángulo pequeño.:@0.073101:0.891197:0.212963:0.891197:0.212963:0.874763:0.073101:0.874763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los pueblos indígenas :@0.740294:0.179645:0.891553:0.179645:0.891553:0.164705:0.740294:0.164705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tienen su propia bandera, :@0.740294:0.194774:0.912997:0.194774:0.912997:0.179834:0.740294:0.179834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 conocida como wiphala, :@0.740294:0.209903:0.906193:0.209903:0.906193:0.194963:0.740294:0.194963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cargada de colores :@0.740294:0.225032:0.868530:0.225032:0.868530:0.210092:0.740294:0.210092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y significados que :@0.740294:0.240161:0.861944:0.240161:0.861944:0.225221:0.740294:0.225221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 representan rasgos de sus :@0.740294:0.255290:0.914984:0.255290:0.914984:0.240350:0.740294:0.240350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cosmogonías,:@0.740294:0.270418:0.831805:0.270418:0.831805:0.255479:0.740294:0.255479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La Wiphala es un símbolo :@0.740294:0.285547:0.907989:0.285547:0.907989:0.270608:0.740294:0.270608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 importante de los pueblos :@0.740294:0.300676:0.915032:0.300676:0.915032:0.285737:0.740294:0.285737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 indígenas andinos, que :@0.740294:0.315805:0.893536:0.315805:0.893536:0.300865:0.740294:0.300865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 representa la diversidad :@0.740294:0.330934:0.896737:0.330934:0.896737:0.315994:0.740294:0.315994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y unidad de sus culturas, :@0.740294:0.346063:0.901553:0.346063:0.901553:0.331123:0.740294:0.331123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 especialmente en Bolivia, :@0.740294:0.361192:0.906548:0.361192:0.906548:0.346252:0.740294:0.346252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Perú, Ecuador, Argentina, :@0.740294:0.376321:0.903984:0.376321:0.903984:0.361381:0.740294:0.361381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Chile y Colombia. En :@0.740294:0.391450:0.876032:0.391450:0.876032:0.376510:0.740294:0.376510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nuestro país, aunque no :@0.740294:0.406579:0.899521:0.406579:0.899521:0.391639:0.740294:0.391639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es un símbolo nacional :@0.740294:0.421708:0.892823:0.421708:0.892823:0.406768:0.740294:0.406768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 oficial, ha ganado visibilidad :@0.740294:0.436837:0.923993:0.436837:0.923993:0.421897:0.740294:0.421897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y respeto en ciertos :@0.740294:0.451966:0.870026:0.451966:0.870026:0.437026:0.740294:0.437026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 contextos, especialmente :@0.740294:0.467095:0.908856:0.467095:0.908856:0.452155:0.740294:0.452155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en eventos y movimientos :@0.740294:0.482224:0.914999:0.482224:0.914999:0.467284:0.740294:0.467284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 relacionados con los :@0.740294:0.497353:0.875547:0.497353:0.875547:0.482413:0.740294:0.482413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 derechos indígenas y la :@0.740294:0.512482:0.895060:0.512482:0.895060:0.497542:0.740294:0.497542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diversidad cultural.:@0.740294:0.527610:0.860898:0.527610:0.860898:0.512671:0.740294:0.512671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interculturalidad:@0.744526:0.150871:0.875874:0.150871:0.875874:0.133924:0.744526:0.133924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000