MathDB
Easy one on angle bisectors

Source: 0

May 17, 2004
geometryangle bisectorMenelausGermanyTSTTeam Selection Test2004

Problem Statement

In a triangle ABCABC, let DD be the midpoint of the side BCBC, and let EE be a point on the side ACAC. The lines BEBE and ADAD meet at a point FF.
Prove: If BFFE=BCAB+1\frac{BF}{FE}=\frac{BC}{AB}+1, then the line BEBE bisects the angle ABCABC.
Back to ProblemsView on AoPS