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Find area of triangle

Source: Bosnia and Herzegovina TST 2007 day 1 problem 1

May 13, 2014
geometryangle bisectorgeometry unsolved

Problem Statement

Let ABCABC be a triangle such that length of internal angle bisector from BB is equal to ss. Also, length of external angle bisector from BB is equal to s1s_1. Find area of triangle ABCABC if ABBC=k\frac{AB}{BC} = k
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