En un triángulo ABC se denomina triángulo medial al triángulo cuyos vértices son los puntos medios de los lados del triángulo ABC.[br][br][img 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característica de estos triángulos es que sus lados son paralelos, por lo que los dos triángulos serán[br]semejantes.[br]Además, ambos triángulos tienen el mismo baricentro y el ortocentro del triángulo medial es el  circuncentro del triángulo original.[br]Vamos a intentar comprobar las relaciones anteriores. Para ello, dibujamos un triángulo cualquiera ABC,[br]determinando los puntos medios utilizando la herramienta [b]Punto medio o centro[/b] [url=https://wiki.geogebra.org/es/Herramienta_de_Medio_o_Centro][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgAUABQAhAAAAAAAAAAAKgAAPAAAOgAAPwAAOQAAOwAAPQAAIgAARgAARAAAzwAA8wAA/wAA7TcAADkAAD4AADsAADoAADUAADYAAEwAAE4AAEEAANcAANwAAP0AAP8AAAECAwECAwU4ICCOZCkOhKmSRcMY66o4zxGvy63vfO//F8wPkOF0JL+JZkMZVobQqHSIyA0fDsXPwGgUhinBLwQAOw==[/img][/url], de cada lado para construir a continuación, el triángulo medial.[br]Los dos triángulos aparecen dibujados en el applet siguiente:

Una forma de comprobar que los lados de ambos triángulos son paralelos, podría consistir en trazar la recta paralela a un lado AB por el punto medio F, para observar que esta recta pasa por el otro punto E del lado del triángulo medial.[br][br][img 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ofrece una herramienta que permite determinar ciertas relaciones entre los objetos de una construcción. Esta herramienta es [b]Relación[/b] [img width=24,height=24]data:image/png;base64,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[/img].