MathDB
Perpendicularity

Source: Moldova JTST 2017, problem 7

May 3, 2017
geometry

Problem Statement

Given is an acute triangle ABCABC and the median AM.AM. Draw BH⊥AC.BH\perp AC. The line which goes through AA and is perpendicular to AMAM intersects BHBH at E.E. On the opposite ray of the ray AEAE choose FF such that AE=AF.AE=AF. Prove that CF⊥AB.CF\perp AB.
Back to ProblemsView on AoPS