In the figure below, ABCD is a
parallelogram with E an exterior point. F and G are the points of
intersection of AE with BD and BC. H is the point of
intersection of DE and BC. If S, S1,
S2, and S3
are the areas of quadrilateral DFGH, and triangles ABF, BEG, and
CEH respectively,
prove that S = S1
+ S2
+ S3
.
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