MathDB

23

Part of 2007 Harvard-MIT Mathematics Tournament

Problems(1)

2007 Guts #23: Obtuse Triangle Angle Bisector

Source:

6/22/2012
In triangle ABCABC, ∠ABC\angle ABC is obtuse. Point DD lies on side ACAC such that ∠ABD\angle ABD is right, and point EE lies on side ACAC between AA and DD such that BDBD bisects ∠EBC\angle EBC. Find CECE given that AC=35AC=35, BC=7BC=7, and BE=5BE=5.
trigonometrygeometrytrig identitiesLaw of Sines