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

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[[Image:Mock AIME 2 2007 Problem14.jpg]]
 
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==Solution==
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{{solution}}
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----
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*[[Mock AIME 2 2006-2007/Problem 13 | Previous Problem]]
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*[[Mock AIME 2 2006-2007/Problem 15 | Next Problem]]
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*[[Mock AIME 2 2006-2007]]
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== 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.

Revision as of 19:49, 22 August 2006

Problem

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 $\displaystyle BC.$

Mock AIME 2 2007 Problem14.jpg

Solution

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Problem Source

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