perplexus.info :: Geometry : Three Centroids

Three Centroids (Posted on 2015-05-28)

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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