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given triangle of touchpoints of incircle has same orthocenter with ABC

Source: Sharygin 2010 Final 10.6

November 25, 2018
geometryincircleorthocenterright triangle

Problem Statement

The incircle of triangle ABCABC touches its sides in points A′,B′,C′A', B',C' . It is known that the orthocenters of triangles ABCABC and A′B′C′A' B'C' coincide. Is triangle ABCABC regular?
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