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>  
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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.

Revision as of 00:08, 25 July 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

Problem Source

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

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