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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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  Subject Author Date
Correction to SolutionBractals2015-05-29 21:27:14
SolutionSimplified solution & more area relationshipsJer2015-05-29 09:00:05
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