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Bisector and side lengths

Source: Sharygin Geometry Olympiad 2012 - Problem 7

April 28, 2012
trigonometrygeometrytrig identitiesLaw of Sinesgeometry unsolved

Problem Statement

In a non-isosceles triangle ABCABC the bisectors of angles AA and BB are inversely proportional to the respective sidelengths. Find angle CC.