MathDB

26

Part of 2007 Harvard-MIT Mathematics Tournament

Problems(1)

2007 Guts #26: Cyclic Quadrilateral Diagonals

Source:

6/22/2012
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.
geometrycyclic quadrilateral