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Geometry

Source: 1998 National High School Mathematics League, Exam Two, Problem 1

March 9, 2020
geometrycircumcircleincenter

Problem Statement

Circumcenter and incentre of △ABC\triangle ABC are O,IO,I. ADAD is the height on side BCBC. If II is on line OCOC, prove that the radius of circumcircle and escribed circle (in \angle BAC) are equal.
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