Medianas y baricentro.

¿Qué es una mediana?
Una [b]mediana [/b]de un triángulo es una recta (o segmento) que une cada [b]vértice [/b]con el [b]punto medio[/b] del[br][b]lado opuesto[/b].[br]Un triángulo tiene [b]3 medianas[/b]; una por cada lado.[br]Las tres medianas de un triángulo se cortan en un punto que se llama [b]baricentro.[/b]
¿Cómo se hace en Geogebra?
Para trazar el las medianas debemos trazar, para cada vértice, la recta que pasa por él y por el punto medio del lado opuesto. [br]Utilizaremos la herramienta "Punto medio o centro" [br][img]data:image/png;base64,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[/img][br]para trazar los puntos medios de los lados.[br]Después utilizaremos la herramienta "recta" [br][img]data:image/png;base64,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[/img][br]seleccionando el vértice y el punto medio del lado opuesto.[br]
Mediatrices de un triángulo: circuncentro
[code][/code]El siguiente vídeo te explica como construir el [b]baricentro [/b]de un triángulo.
Baricentro con Geogebra
Traza el baricentro del siguiente triángulo.
Baricentro y centro de masas.
El baricentro de un triángulo tiene la particularidad de ser el centro de masas del mismo. En la primera parte del siguiente vídeo puedes ver como puedes hacer equilibrios con una figura si la apoyas en su centro de masas.
Baricentro y centro de masas.

Information: Medianas y baricentro.