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ASU 115 All Soviet Union MO 1969 equal perimeters inside trapezoid

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June 23, 2019
geometryperimetertrapezoid

Problem Statement

The point EE lies on the base [AD][AD] of the trapezoid ABCDABCD. The perimeters of the triangles ABE,BCEABE, BCE and CDECDE are equal. Prove that ∣BC∣=∣AD∣/2|BC| = |AD|/2
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