MathDB
Geometric Ratio

Source:

April 6, 2008
ratiovectortrigonometryanalytic geometryexterior anglegeometrysimilar triangles

Problem Statement

Let ABC ABC be a right triangle with \angle A \equal{} 90^\circ. Let D D be the midpoint of AB AB and let E E be a point on segment AC AC such that AD \equal{} AE. Let BE BE meet CD CD at F F. If \angle BFC \equal{} 135^\circ, determine BC/AB BC / AB.
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