MathDB
Cono Sur Shortlist 2012, Problem G2

Source:

August 23, 2014
geometrycircumcircleperpendicular bisectorpower of a pointgeometry proposed

Problem Statement

Let ABCABC be a triangle, and MM and NN variable points on ABAB and ACAC respectively, such that both MM and NN do not lie on the vertices, and also, AM×MB=AN×NCAM \times MB = AN \times NC. Prove that the perpendicular bisector of MNMN passes through a fixed point.
Back to ProblemsView on AoPS