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Geometry Problem 169. Parallelogram, Interior and Exterior Points, 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 and F an interior point. Lines EA, EB, EC, ED, FA, FB, FC, and FD 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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Geometry problem: Parallelogram, Interior and Exterior Points


Home | Geometry | Search | Problems | 161-170 | Area of a Parallelogram | Email | By Antonio Gutierrez

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