Why is the centroid the center of mass, or balancing point, of a triangle?
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See this Dr. Math response. In my opinion, though, point 1 of the response is not necessary.
Originally Posted by emakarov See this Dr. Math response. In my opinion, though, point 1 of the response is not necessary. As Doctor Jerry himself says, it is not a precise proof. I have heard that a proof using only Euclidean geometry exists. Can someone post it ? The more common proof uses calculus.
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