MathDB
Pentagon and triangles with equal areas

Source: South Africa 2003

October 14, 2005
geometrygeometry proposed

Problem Statement

In a given pentagon ABCDEABCDE, triangles ABCABC, BCDBCD, CDECDE, DEADEA and EABEAB all have the same area. The lines ACAC and ADAD intersect BEBE at points MM and NN. Prove that BM=ENBM = EN.
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