# Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 9"

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

− | In right triangle <math> | + | In right triangle <math>ABC,</math> <math>\angle C=90^\circ.</math> Cevians <math>AX</math> and <math>BY</math> intersect at <math>P</math> and are drawn to <math>BC</math> and <math>AC</math> respectively such that <math>\frac{BX}{CX}=\frac23</math> and <math>\frac{AY}{CY}=\sqrt 3.</math> If <math>\tan \angle APB= \frac{a+b\sqrt{c}}{d},</math> where <math>a,b,</math> and <math>d</math> are relatively prime and <math>c</math> has no perfect square divisors excluding <math>1,</math> find <math>a+b+c+d.</math> |

==Solution== | ==Solution== | ||

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− | *[[Mock AIME 2 2006-2007/Problem 8 | Previous Problem]] | + | *[[Mock AIME 2 2006-2007 Problems/Problem 8 | Previous Problem]] |

− | *[[Mock AIME 2 2006-2007/Problem 10 | Next Problem]] | + | *[[Mock AIME 2 2006-2007 Problems/Problem 10 | Next Problem]] |

*[[Mock AIME 2 2006-2007]] | *[[Mock AIME 2 2006-2007]] |

## Revision as of 15:33, 3 April 2012

## Problem

In right triangle Cevians and intersect at and are drawn to and respectively such that and If where and are relatively prime and has no perfect square divisors excluding find

## Solution

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