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Turkey Junior Olympiad 2004, Part II - P1

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January 20, 2013
geometryincenter

Problem Statement

Let [AD][AD] and [CE][CE] be internal angle bisectors of △ABC\triangle ABC such that DD is on [BC][BC] and EE is on [AB][AB]. Let KK and MM be the feet of perpendiculars from BB to the lines ADAD and CECE, respectively. If ∣BK∣=∣BM∣|BK|=|BM|, show that △ABC\triangle ABC is isosceles.
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