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Plane Geometry Problem 983. Regular Hexagon, A point  and six triangles, Areas


The infographic below shows a regular hexagon ABCDEF of area S. P is any point and PA, PB, PC,PD, PE, and PF form triangles of areas S1, S2, S3, S4, S5, and S6. Prove that S1+S3+S5 = S2+S4+S6 = S/2.

Geometry Problem 983: Regular Hexagon, A point  and six triangles, Areas


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