Paranoid centroid

A square is divided in four triangles of which the red centroids are shown. What fraction is green?

Scroll down for a solution to this problem.


The green fraction is 2/9.

Solution for arbitrary quadrilateral by Matthew Arcus.

In general, the parallelogram formed by the centroids is 4/9 of the Varignon parallelogram, which is 1/2 of the whole.

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