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Problem 441: Quadrilateral, Triangle, Area, Proportion, Measurement,
Similarity
The figure shows a quadrilateral ABCD
with
.
Lines BF and CE intersect at G. Lines AF and DE intersect at H.
S is the area of quadrilateral EGFH, S_{1}, and S_{2}
are the areas of triangles BCG and ADH, prove that S = S_{1}
+ S_{2}.
