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# Prove that the centroid of any triangle is located at the point of intersection of the medians. [Hints: Place the axes so that the vertices are...

Prove that the centroid of any triangle is located at the point of intersection of the medians. [Hints: Place the axes so that the vertices are (a,0),(0,b) and . Recall that a median is a line segment from a vertex to the midpoint of the opposite side. Recall also that the medians intersect at a point two-thirds of the way from each vertex (along the median)to the opposite side.

Prove that the centroid of any triangle is located at the point of intersection of the medians.
[Hints: Place the axes so that the vertices are (a,0),(0,b) and . Recall that a median is
a line...

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