MathDB
Mexico Regional Olympiad. 2012.

Source:

August 1, 2013
trigonometrygeometryincentercircumcircleangle bisectorgeometry unsolved

Problem Statement

On an acute triangle ABCABC we draw the internal bisector of <ABC<ABC, BEBE, and the altitude ADAD, (DD on BCBC), show that <CDE<CDE it's bigger than 45 degrees.