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Problem of the Week 858

Median Triangles

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If T is a triangle let M(T) be the triangle formed by the three medians of T. (In other words, form the triangle M(T) using the 3 line segments which each start from a vertex of T and end at the center of the opposite side.) What is the relationship of M(M(M(M(T)))) to T?

© Copyright 1998 Stan Wagon. Reproduced with permission.

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The Math Forum

2 October 1998