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AB = 2DE if <B = 2<C where AD , AE altitude ,median of ABC

Source: 2018 All-Ukrainian Correspondence MO grades 5-12 p6

April 29, 2021
geometryequal segmentsequal anglesUkraine Correspondence

Problem Statement

Let ADAD and AEAE be the altitude and median of triangle ABCABC, in with ∠B=2∠C\angle B = 2\angle C. Prove that AB=2DEAB = 2DE.
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