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Determine the area of triangle

Source: I.F.Sharygin contest 2009 - Correspondence round - Problem 14

May 31, 2009
geometrytrigonometryangle bisectorgeometry proposed

Problem Statement

Given triangle ABC ABC of area 1. Let BM BM be the perpendicular from B B to the bisector of angle C C. Determine the area of triangle AMC AMC.
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