draw a triangle and construct three medians of the following
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Constructing a Triangle with Three Medians. The three median of any triangle are concurrent; that is, if ∆ABC and D, E, & F are the midpoints of the sides opposite A, B, & C, respectively, then the segments AF, BD, & CE all intersect in a common point G. Moreover, AG = 2GD, BG = 2 GE, and CG = 2GF.
In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid.
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