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Determine the ratio A : C

Source: Baltic Way 2000 Problem 5

February 13, 2009
ratiotrigonometrygeometry unsolvedgeometry

Problem Statement

Let ABC ABC be a triangle such that \frac{BC}{AB \minus{} BC}\equal{}\frac{AB \plus{} BC}{AC} Determine the ratio ∠A:∠C \angle A : \angle C.
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