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Regional Olympiad - FBH 2012 Grade 11 Problem 4

Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2012

September 25, 2018
geometrycircumcircle

Problem Statement

In triangle ABCABC point OO is circumcenter. Point TT is centroid of ABCABC, and points DD, EE and FF are circumcenters of triangles TBCTBC, TCATCA and TABTAB. Prove that OO is centroid of DEFDEF
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