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line passes through incenter of isoceles triangle

Source: Sharygin 2023 - P4 (Grade-8)

March 4, 2023
geometryincenterSharygin Geometry OlympiadSharygin 2023

Problem Statement

Points DD and EE lie on the lateral sides ABAB and BCBC respectively of an isosceles triangle ABCABC in such a way that ∠BED=3∠BDE\angle BED = 3\angle BDE. Let D′D' be the reflection of DD about ACAC. Prove that the line D′ED'E passes through the incenter of ABCABC.
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