MathDB
2009 Geometry #10: Extensions and Circles

Source:

June 23, 2012
geometrytrigonometryinequalitiestrig identitiesLaw of Cosinestriangle inequalitypower of a point

Problem Statement

Points AA and BB lie on circle ω\omega. Point PP lies on the extension of segment ABAB past BB. Line ℓ\ell passes through PP and is tangent to ω\omega. The tangents to ω\omega at points AA and BB intersect ℓ\ell at points DD and CC respectively. Given that AB=7AB=7, BC=2BC=2, and AD=3AD=3, compute BPBP.
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