MathDB
Prove that BE bisects <B

Source: Canadian Repêchage 2013: Problem 2

May 20, 2014
trigonometrygeometrytrig identitiesLaw of Sinesgeometry proposed

Problem Statement

In triangle ABCABC, ∠A=90∘\angle A = 90^\circ and ∠C=70∘\angle C = 70^\circ. FF is point on ABAB such that ∠ACF=30∘\angle ACF = 30^\circ, and EE is a point on CACA such that ∠CFE=20∘\angle CF E = 20^\circ. Prove that BEBE bisects ∠B\angle B.
Back to ProblemsView on AoPS