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Quadrilateral Equals Overlapping Triangles (Posted on 2010-07-23) Difficulty: 3 of 5

Let P and Q be points on the sides AB and CD respectively
of convex quadrilateral ABCD. Prove the following:

    |AP|     |CQ|
If ------ = ------, then [ABCD] = [QAB] + [PCD]
    |PB|     |QD|

where [KLM...XYZ] denotes the area of polygon KLM...XYZ.

See The Solution Submitted by Bractals    
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  Subject Author Date
SolutionSolutionHarry2010-07-26 20:59:54
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