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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 ?

 
cjxie0613  Oct 11, 2018
 #1
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I'm showing 841 unique centroids.

 

 
Rom  Oct 11, 2018
edited by Rom  Oct 11, 2018
edited by Rom  Oct 11, 2018
edited by Rom  Oct 11, 2018
edited by Rom  Oct 11, 2018
edited by Rom  Oct 11, 2018

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