MathDB
Jacobi wasn't well known back in 1997

Source: 1997 Korea National Olympiad #7

March 18, 2018
geometry

Problem Statement

Let X,Y,ZX,Y,Z be the points outside the △ABC\triangle ABC such that ∠BAZ=∠CAY,∠CBX=∠ABZ,∠ACY=∠BCX.\angle BAZ=\angle CAY,\angle CBX=\angle ABZ,\angle ACY=\angle BCX. Prove that the lines AX,BY,CZAX, BY, CZ are concurrent.
Back to ProblemsView on AoPS