Problem 122. Marion Walter's Theorem, Areas. Level: High School, SAT Prep, College

In the figure below, prove that the
area S_{1} of the central hexagonal region DEFGHM
determined by trisection of each side of a triangle ABC and
connecting the corresponding points A', A", B', B", C', and C"
with the opposite vertex is given by 1/10 the area of triangle
ABC.
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