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Restore triangle

Source: Sharygin Geometry Olympiad 2012 - Problem 9

April 28, 2012
geometrygeometric transformationreflectiongeometry unsolved

Problem Statement

In triangle ABCABC, given lines lbl_{b} and lcl_{c} containing the bisectors of angles BB and CC, and the foot L1L_{1} of the bisector of angle AA. Restore triangle ABCABC.