MathDB
2009 Geometry #9: Angle Bisectors of a Triangle

Source:

June 23, 2012
geometryincentertrigonometryangle bisector

Problem Statement

Let ABCABC be a triangle with AB=16AB=16 and AC=5AC=5. Suppose that the bisectors of angle ABC\angle ABC and BCA\angle BCA meet at a point PP in the triangle's interior. Given that AP=4AP=4, compute BCBC.