MathDB

32

Part of 2013 Online Math Open Problems

Problems(1)

2012-2013 Winter OMO #32

Source:

1/16/2013
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
Online Math Opengeometryincentercircumcircleinradiustrigonometrytrapezoid