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<XOY =? median AD = AC - AB

Source: TOT 437 1994 Autumn A S3 - Tournament of Towns

June 12, 2024
geometrymedianangles

Problem Statement

The median ADAD of triangle ABCABC intersects its inscribed circle (with center OO) at the points XX and YY. Find the angle XOYXOY if AC=AB+ADAC = AB + AD.
(A Fedotov)
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