MathDB
Chinese TST 2008 P1

Source:

April 3, 2008
geometrytrigonometrycircumcircleratioprojective geometrygeometry proposed

Problem Statement

Let ABC ABC be a triangle, let AB>AC AB > AC. Its incircle touches side BC BC at point E E. Point D D is the second intersection of the incircle with segment AE AE (different from E E). Point F F (different from E E) is taken on segment AE AE such that CE \equal{} CF. The ray CF CF meets BD BD at point G G. Show that CF \equal{} FG.
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