Mock AIME 2 2006-2007 Problems/Problem 14

Revision as of 00:03, 25 July 2006 by 4everwise (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)


In triangle ABC, $\displaystyle AB = 308$ and $\displaystyle AC=35.$ Given that $\displaystyle AD$, $\displaystyle BE,$ and $\displaystyle CF,$ intersect at $\displaystyle P$ and are an angle bisector, median, and altitude of the triangle, respectively, compute the length of $\displaystyle BC.$

Problem Source

4everwise thought of this problem after reading the first chapter of Geometry Revisited.

Invalid username
Login to AoPS