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touchpoints of incircle (IV Soros Olympiad 1997-98 Correspondence 9.9)

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June 1, 2024
geometryincircle

Problem Statement

In triangle ABCABC, angle AA is equal to aa and the altitude drawn to side BCBC is equal to hh. The inscribed circle of the triangle touches the sides of the triangle at points KK, MM and PP, where PP lies on side BCBC. Find the distance from PP to KMKM.
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