MathDB

2012.11

Part of Ukrainian TYM Qualifying - geometry

Problems(1)

3 concurrent incircles, inside a square

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

5/11/2021
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.
geometryconcurrentconcurrencysquareUkrainian TYM