MathDB
One from Junior Balkan 2004

Source: JbMO 2004, PROBLEM 2

July 20, 2004
geometrycircumcirclesymmetryangle bisectorperpendicular bisectorgeometry proposed

Problem Statement

Let ABCABC be an isosceles triangle with AC=BCAC=BC, let MM be the midpoint of its side ACAC, and let ZZ be the line through CC perpendicular to ABAB. The circle through the points BB, CC, and MM intersects the line ZZ at the points CC and QQ. Find the radius of the circumcircle of the triangle ABCABC in terms of m=CQm = CQ.
Back to ProblemsView on AoPS