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2007 Guts #26: Cyclic Quadrilateral Diagonals

Source:

June 22, 2012
geometrycyclic quadrilateral

Problem Statement

ABCDABCD is a cyclic quadrilateral in which AB=4AB=4, BC=3BC=3, CD=2CD=2, and AD=5AD=5. Diagonals ACAC and BDBD intersect at XX. A circle ω\omega passes through AA and is tangent to BDBD at XX. ω\omega intersects ABAB and ADAD at YY and ZZ respectively. Compute YZ/BDYZ/BD.
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