Geometry (Could you do more clearly?)

Question:Geometry (Could you do more clearly?)

Posted: yangtheary 260 Product: Maple

December 10 2012

A triangle $ABC$ is given.The points $P , Q , R$ are chosen on the sides $AB , BC , CA$ such that the $PQCR$ is parallelogram and points $M\in AQ \bigcap PR , N\in BR \bigcap PQ$ .
Prove that $area(AMP)$ + $area(BNP)$ = $area(CQR)$

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