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Source: macedonian junior olympiad 2011

April 20, 2013
trigonometrygeometry proposedgeometry

Problem Statement

Two circles k1 k_1 and k2 k_2 are given with centers P P and R R respectively, touching externally at point A A . Let p p be their common tangent line which does not pass trough A A and touch k1 k_1 at B B and k2 k_2 at C C . PR PR cuts BC BC at point E E and k2 k_2 at A A and D D . If AB=2AC AB=2AC find BCDE \frac{BC}{DE} .
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