Solved: Prove that the centroid of any triangle is located
Chapter 7, Problem 7.5.45(choose chapter or problem)
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 , , 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.]
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