Geometry Problem 168. Parallelogram, Diagonals, Pentagon, Triangles, Areas.
Level: High School, Honors Geometry, College,
Mathematics Education

In the figure below, ABCD is a
parallelogram with E an exterior point. Lines AE and DE and
diagonals AC and BD determine the shaded regions of areas S1,
S2, S3, S4,
S5,
and S6.
Prove that S5
+ S6
= S1
+ S2
+ S3
+ S4.
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161170 
Area of a Parallelogram  Email
 By Antonio Gutierrez
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