MathDB
Little cute easy geo

Source: pOMA 2024/4

November 14, 2024
geometry

Problem Statement

Let ABCABC be a triangle, and let DD and EE be two points on side BCBC such that BD=ECBD = EC. Let XX be a point on segment ADAD such that CXCX is parallel to the bisector of ∠ADB\angle ADB. Similarly, let YY be a point on segment ADAD such that BYBY is parallel to the bisector of ∠ADC\angle ADC. Prove that DE=XYDE = XY.
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