MathDB
Triangles

Source: Central American Olympiad 2002, problem 4

December 30, 2009
geometryparallelogramtrapezoid

Problem Statement

Let ABC ABC be a triangle, D D be the midpoint of BC BC, E E be a point on segment AC AC such that BE\equal{}2AD and F F is the intersection point of AD AD with BE BE. If \angle DAC\equal{}60^{\circ}, find the measure of the angle FEA FEA.
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