Online Geometry Problems

Online Geometry Problem 771: Area of a Parallelogram, Star, Pentagon, Triangles. Level: High School, College, Mathematics Education

In the figure below, ABCD is a parallelogram of area S. G is on BC, F on AD and E an exterior point. Lines EA, EB, AG, BF, and FG determine the shaded regions of areas S1, S2, S3, S4, S5, and S6. Prove: S1 + S2 + S3 + S4 + S5 -S6-= S/2.

Parallelogram Area, Star, Pentangon, Triangles


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