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AD=AE if AB=AC, <BAD = 2<CDE 1988 Greece MO Grade XI p2

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September 7, 2024
geometryisoscelesequal segments

Problem Statement

In isosceles triangle ABCABC with AB=ACAB=AC, consider point DD on the base BCBC and point EE on side ACAC such that ∠BAD=2∠CDE \angle BAD = 2 \angle CDE. Prove that AD=AEAD=AE.
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