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equal areas inside a pentagon (2013 HOMC Junior Q8 Senior Q8)

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July 18, 2019
geometrypentagonareas

Problem Statement

Let ABCDEABCDE be a convex pentagon and area of △ABC=\vartriangle ABC = area of △BCD=\vartriangle BCD = area of △CDE=\vartriangle CDE= area of △DEA=\vartriangle DEA = area of △EAB\vartriangle EAB. Given that area of △ABCDE=2\vartriangle ABCDE = 2. Evaluate the area of area of △ABC\vartriangle ABC.
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