MathDB
The point E on AB=AC - JBMO Shortlist

Source:

October 30, 2010
trigonometrygeometryangle bisectortrig identitiesLaw of Cosinesgeometry proposed

Problem Statement

Consider a triangle ABCABC with AB=ACAB=AC, and DD the foot of the altitude from the vertex AA. The point EE lies on the side ABAB such that ∠ACE=∠ECB=18∘\angle ACE= \angle ECB=18^{\circ}.
If AD=3AD=3, find the length of the segment CECE.
Back to ProblemsView on AoPS