MathDB
2014 Guts #22: Tangent to a Cyclic Quad

Source:

April 21, 2014

Problem Statement

Let ω\omega be a circle, and let ABCDABCD be a quadrilateral inscribed in ω\omega. Suppose that BDBD and ACAC intersect at a point EE. The tangent to ω\omega at BB meets line ACAC at a point FF, so that CC lies between EE and FF. Given that AE=6AE=6, EC=4EC=4, BE=2BE=2, and BF=12BF=12, find DADA.
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