MathDB
Moldova TST 2005 for JBMO, day 1, problem 1

Source: Moldova TST 2005 for JBMO, day 1, problem 1

April 11, 2005
symmetrygeometryperpendicular bisectorpower of a pointradical axisgeometry solved

Problem Statement

Let the triangle ABCABC with BCBC the smallest side. Let PP on (ABAB) such that angle PCBPCB equals angle BACBAC. and QQ on side (ACAC) such that angle QBCQBC equals angle BACBAC. Show that the line passing through the circumenters of triangles ABCABC and APQAPQ is perpendicular on BCBC.
Back to ProblemsView on AoPS