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ASU 489 All Soviet Union MO 1989 3 incircles have a common tangent

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August 13, 2019
geometryincirclecommon tangenttangent

Problem Statement

The incircle of ABCABC touches ABAB at MM. NN is any point on the segment BCBC. Show that the incircles of AMN,BMN,ACNAMN, BMN, ACN have a common tangent.
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