MathDB
2014 Team #8: Parallels, Perpendiculars with Circumcenter

Source:

March 2, 2014
geometrycircumcirclesymmedianAngle Chasingradical axis

Problem Statement

Let ABCABC be an acute triangle with circumcenter OO such that AB=4AB=4, AC=5AC=5, and BC=6BC=6. Let DD be the foot of the altitude from AA to BCBC, and EE be the intersection of AOAO with BCBC. Suppose that XX is on BCBC between DD and EE such that there is a point YY on ADAD satisfying XY∥AOXY\parallel AO and YO⊥AXYO\perp AX. Determine the length of BXBX.
Back to ProblemsView on AoPS