Baricentro y propiedades

[size=150]El [b]baricentro [/b]es el punto de intersección de las tres medianas de un triángulo[br][br][/size]
[icon]/images/ggb/toolbar/mode_cube.png[/icon][b]Construcción 1[br][br][/b][list=1][*]Construye un triángulo con la herramienta [icon]/images/ggb/toolbar/mode_polygon.png[/icon][/*][*]Ubica el punto medio de cada lado con la herramienta [icon]/images/ggb/toolbar/mode_midpoint.png[/icon][/*][*]Construye las tres medianas con la herramienta [icon]/images/ggb/toolbar/mode_segment.png[/icon][/*][*]Ubica el baricentro con la herramienta [icon]/images/ggb/toolbar/mode_intersect.png[/icon][/*][*]Observa que cada mediana ha sido divida en dos segmentos, mide cada uno de los segmentos de cada mediana con[icon]/images/ggb/toolbar/mode_distance.png[/icon][/*][/list][br]Una vez terminda la construcción, utiliza el botón [icon]/images/ggb/toolbar/mode_move.png[/icon] para modificar el tamaño del triángulo a discreción y observa el comportamiento del [b]baricentro [/b]y de los segmentos dividos por el baricentro en cada mediana. ¿Qué relación encuentras se cumple? Utiliza tus observaciones para responder las preguntas planteadas a continuación
Pregunta 1
[b][size=150]¿Cuál(es) de las siguientes afirmaciones es(son) verdadera(s)?[/size][/b]
Pregunta 2
Observa detenidamente las medidas de cada segmento en que fue divida una de las medianas. [br]¿Qué deduces? ¿Esta relación se manifiesta en cada una de las 3 medianas? [br]Responde a partir de lo observado.
Pregunta 3
Hallar la longitud del segmento [math]GD[/math] si se sabe que [math]G[/math] es el baricento del triángulo y [math]BG=5[/math][br][img]data:image/png;base64,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[/img]
Pregunta 4
Hallar la longitud del segmento [math]AD[/math] si [math]G[/math] es el baricentro del triángulo y [math]GD=3[/math][br][img]data:image/png;base64,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[/img]
Preguntas 5 - 8
Para resolver estas preguntas, haremos una construcción para conocer una importante propiedad de la mediana en los triángulos rectángulos, sigue las siguientes instrucciones:[br][br][icon]https://www.geogebra.org/images/ggb/toolbar/mode_cube.png[/icon][b]Construcción 2[/b][br][br][list=1][*]Dibuja la mediana relativa la hipotenusa. (no olvides fijar antes el punto medio con [icon]/images/ggb/toolbar/mode_midpoint.png[/icon])[/*][*]Con la herramienta [icon]/images/ggb/toolbar/mode_distance.png[/icon] mide la longitud de la mediana dibujada y los dos segmentos en los que se dividió la hipotenusa.[/*][/list]
Pregunta 5
Describe detalladamente la relación observada
Pregunta 6
En la siguiente figura [math]BD=5[/math] y [math]CD\cong DF[/math]. Hallar la medida del segmento [math]CF[/math].[br][img]data:image/png;base64,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[/img]
Pregunta 7
En un triángulo [math]ABC[/math] recto en [math]B[/math], se sabe que [math]AC=15[/math]. Hallar la longitud de la mediana relativa a la hipotenusa.
Pregunta 8
En la figura, [math]G[/math] es el baricentro de la región triangular [math]ABC[/math]. Si [math]AC=36[/math]. Hallar la medida de [math]BG[/math][br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAN8AAAB2CAIAAADHiNFdAAAAAXNSR0IArs4c6QAABj5JREFUeAHtnOmuHCkMhfMWkebPvP9TVjRidC4xFMViwIYTRZGL9sbx19Cd7dfDH1TAqgK/rDbGvqjAcwud//7z++0nKTCrAOn8j1qz47m8MdL5/5l6OQc2t38dnWIMuO7FOh8tKEA6eXZa4DDfw3V04rCMjbw2XN2tAOnkV6LdDL7XJ538zv5Ox+5XrqNTCI77Xazz0YICpJPfiixwmO/hOjpxWAojLw9XtypAOvm5cyuAxeKkk9/Zi4BsffEWOreKzOKdCpDOTuEYtkCBS+nEV6IFErNEtwK308m/PteNzoLAG+kMB+fzPAFNArqAs74S19EJNEFnMMhoH0BTo26kE4LGRMbUwoHGXgXuojPGMeguVsTj3tmw+kV0Zk/HGMdgZ90IyhYF7qIzlRh0wgg+4jEN5MoCBW6hs3Au4iUhNwEVgqx/vIJOwVn6KFYwhrd1ONCYqsCNdMa/lyTsVGt+DE01WbZyPp1v51/ALrz65oMxfDrAk4aiAofT+UlVJZ2fR6ziSJgKCtxOZxDiE2K4VXpCXxojCpxMZxNJ9c71niODYezznPt/0LUy1OTf5EzOuhU49uxsBajDvzWke0jXBp5JZx83HVEdIdei1rHxA+nsJqYvsC+qY1QXhpDOn6F3c9Yd+FObVk6B0+gcBKU7nH+klKNrdO0oOrvZgoqDGQbD0QaNoADp/IuEcbzGM/zV0N0P59CphcV4Ht7yWu+pQ+gcRwqCaqXSyoPGLjRIpxy6IlWKqWSXdzyfQKc6BIoJecuPvI/c06lIEnRUz6meEK2ebZDO/HzVeVJPmO/7rFXfdM4b+YzMM3KeRaPcjWM6pw57UnJ+DJUAFp9J56s8kwDlPwJ5VTx5wSud89CBRFNLTE2OLXg3XNK5ZrSzq/CW/3zzkM6SRLMB5S1fUt/jvytaQAwkW1NrTRVsypHh7OxcPMjPcuF2xq/dg+ctn5WOdGZl+Vl8AxREpsZPcKP1VqsxzTnunujcMrxs0ZTIeGWEjmy5kYSuY93QuWts2bpgMZ49FrMhsWfZHgwvJ/f1Kun8npfABRSmkeGldL11RStPa11r/j7oFHwsFlFUL9Cp25ioq5vcRTYHdG4fkmggpRMrMLRmL0prpfWSh3RWTSqmJEUQKzCqktY5hZx1vqd5WaczxmKj9jEiKYJYgaHeqhEd1PdVTmiaTiMjAXPoBytC3Ld14db3iOp94R6j7NJpZxhgDi3FK1l7Egqh1qTkBtOSzs6hZKFcQw/eJJ2t+wkzSqeXAQhGl83diz6Dglik8xLpByd3g0qkcxCSneFrPkhs3KE5Om84EnTnfbBitug8WGhdIkW2U3UjnWLQXh+PvOUN0XnqAbCS98M0tELnYbKuJFLUOklJ0imGe8LjMbe8CTpPervbofsAVffTeYCIdogUnXjXlnSKgZ726BrQzXS61s4LyH4/hu6kk2iu5Nuj2qRzJSGba7kDdBud7pTaTJZSeV+3/B46iaYSbJ1pvOhPOjsH7D3MBaAb6HShi3f4avq3f8uvppNo1nCz0sfyREjnShKM1jIL6FI6zapglJqFbdkczTo6be5/IQDWSxn8GEo6rUOzuD9Th8giOk3tefG83ZWzM6wVdNrZrTtQdjVs5JYnnbsAcFB3+7Eync7tO3RAgeEW945vLp1792Z46J5aG7zlQ3hfEtLpCZSNvXYcNDGXsV2/izY64xqf7X461HdJTwsKNA1UoBI/1u9lFp1NO6lvl557FagfK3BEw1ipT0I6oR6NKgUCZGVXgCjcamLjkAY645KxHacLdv2bI43ligsFyiMu41G/QX06y33Xd0ZP4woUBk06jc/uivYChelWV9OZ1ktXnucpvJ/SPXDlDAXSoWfZCHikzgURam921EsNZG8qjCgaByiQjh6cYHdYSZ3hIwxlOuMOaG9XQAx76mPYLEoU9g6fT6OKzkIl0dNnPTqsVOBzcOoO8e7eksc+ZbuNTpEL5cU6H6kAFAAk9Rc6YkknpKBhToFvOsF+tvfyq9kQLlKBSgW+6axMRDcqoK4A6VSXlAnVFCCdalIykboCpFNdUiZUU4B0qknJROoKkE51SZlQTQHSqSYlE6krQDrVJWVCNQVIp5qUTKSuAOlUl5QJ1RT4AwQpu7Acc/MnAAAAAElFTkSuQmCC[/img]
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