MathDB
2023 HMMT Geometry #10

Source:

March 1, 2023
HMMTgeometry

Problem Statement

Triangle ABCABC has incenter II. Let DD be the foot of the perpendicular from AA to side BCBC. Let XX be a point such that segment AXAX is a diameter of the circumcircle of triangle ABCABC. Given that ID=2ID = 2, IA=3IA = 3, and IX=4IX = 4, compute the inradius of triangle ABCABC.
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