# Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 14"

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== Problem == | == Problem == | ||

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

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+ | [[Image:Mock AIME 2 2007 Problem14.jpg]] | ||

== Problem Source == | == Problem Source == | ||

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