Geometry Problem 164.
Parallelogram, Trapezoid, Diagonal, Triangles, Areas
In the figure below, ABCD is a
parallelogram with E any point on side BC and F the point of intersection of
AE and BD. If S, S1,
and S2
are the areas of triangles AFD, BEF, and CDE respectively,
prove that S = S1
+ S2.
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