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2007 BAMO p3 D,E \in BC, BD = CE, <BAD=<CAE => ABC isosceles

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August 27, 2019
geometryisosceles

Problem Statement

In △ABC,D\vartriangle ABC, D and EE are two points on segment BCBC such that BD=CEBD = CE and ∠BAD=∠CAE\angle BAD = \angle CAE. Prove that △ABC\vartriangle ABC is isosceles
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