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Three Centroids (Posted on 2015-05-28) Difficulty: 3 of 5

Let parallelogram ABCD have point P on side BC.
Let K, L, and M be the centroids of triangles
PBA, PAD, and PDC respectively.

Prove that [BCMK] = [AKL] + [DLM], where

   [·] denotes area of polygon.

See The Solution Submitted by Bractals    
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Correction to Solution Comment 2 of 2 |
After looking at my sketch again, drop

3) point L lies on line segment QR,

  Posted by Bractals on 2015-05-29 21:27:14
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