MathDB
Geometry!

Source: 1996 Korea National Olympiad #8

March 22, 2018
geometryangle bisectorcircumcircle

Problem Statement

Let △ABC\triangle ABC be the acute triangle such that AB≠AC.AB\ne AC. Let VV be the intersection of BCBC and angle bisector of ∠A.\angle A. Let DD be the foot of altitude from AA to BC.BC. Let E,FE,F be the intersection of circumcircle of △AVD\triangle AVD and CA,ABCA,AB respectively. Prove that the lines AD,BE,CFAD, BE,CF is concurrent.
Back to ProblemsView on AoPS