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Suppose that we are given 40 points equally spaced around the perimeter of a square, so that four of them are located at the vertices and the remaining points divide each side into ten congruent segments. If P, Q, and R are chosen to be any three of these points which are not collinear, then how many different possible positions are there for the centroid of triangle PQR?

Guest Jun 29, 2018
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Take a look at this link, and see if you can get an idea:

https://math.stackexchange.com/questions/227451/number-of-distinct-centroids-of-triangles-formed-by-40-equally-spaced-points-on

smileysmiley

tertre  Jun 29, 2018

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