MathDB
2007 Guts #23: Obtuse Triangle Angle Bisector

Source:

June 22, 2012
trigonometrygeometrytrig identitiesLaw of Sines

Problem Statement

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.
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