MathDB
2012-2013 Winter OMO #32

Source:

January 16, 2013
Online Math Opengeometryincentercircumcircleinradiustrigonometrytrapezoid

Problem Statement

In △ABC\triangle ABC with incenter II, AB=61AB = 61, AC=51AC = 51, and BC=71BC=71. The circumcircles of triangles AIBAIB and AICAIC meet line BCBC at points DD (D≠BD \neq B) and EE (E≠CE \neq C), respectively. Determine the length of segment DEDE.
James Tao
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