MathDB
SMT 2013 Geometry Tiebreaker #1

Source:

November 2, 2014
geometrycircumcircleincenter

Problem Statement

A circle of radius 22 is inscribed in equilateral triangle ABCABC. The altitude from AA to BCBC intersects the circle at a point DD not on BCBC. BDBD intersects the circle at a point EE distinct from DD. Find the length of BEBE.