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3 concurrent incircles, inside a square

Source: 2012 XV All-Ukrainian Tournament of Young Mathematicians named after M. Y. Yadrenko, Qualifying p11

May 11, 2021
geometryconcurrentconcurrencysquareUkrainian TYM

Problem Statement

Let EE be an arbitrary point on the side BCBC of the square ABCDABCD. Prove that the inscribed circles of triangles ABEABE, CDECDE, ADEADE have a common tangent.
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