MathDB
Cyclic Quadrilateral [Iran TST 2010]

Source:

May 10, 2010
geometrycircumcircleparallelogramrectanglegeometric transformationreflectionsymmetry

Problem Statement

Let O,HO, H be circumcenter and orthogonal center of triangle ABCABC. M,NM,N are midpoints of BHBH and CHCH. BB′BB' is diagonal of circumcircle. If HONMHONM is a cyclic quadrilateral, prove that B′N=12ACB'N=\frac12AC.
Back to ProblemsView on AoPS