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Some Geometry

Source: St Petersburg Olympiad 2012, Grade 10, P2

September 29, 2017
geometrycircumcircle

Problem Statement

Points C,DC,D are on side BEBE of triangle ABEABE, such that BC=CD=DEBC=CD=DE. Points X,Y,Z,TX,Y,Z,T are circumcenters of ABE,ABC,ADE,ACDABE,ABC,ADE,ACD. Prove, that TT - centroid of XYZXYZ
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