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ED = EB if AB = BD = DC, AC = BC, AE = AB

Source: Netherlands - Dutch NMO 1969 p3

February 1, 2023
geometryequal segments

Problem Statement

Given a quadrilateral ABCDABCD with AB=BD=DCAB = BD = DC and AC=BCAC = BC. On BCBC lies point EE such that AE=ABAE = AB. Prove that ED=EBED = EB.
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