# Difference between revisions of "2004 AMC 10B Problems/Problem 24"

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− | In triangle <math>ABC</math> we have <math>AB=7</math>, <math>AC=8</math>, <math>BC=9</math>. Point <math>D</math> is on the circumscribed circle of the triangle so that <math>AD</math> bisects angle <math>BAC</math>. What is the value of <math>AD/CD</math>? | + | In triangle <math>ABC</math> we have <math>AB=7</math>, <math>AC=8</math>, <math>BC=9</math>. Point <math>D</math> is on the circumscribed circle of the triangle so that <math>AD</math> bisects angle <math>BAC</math>. What is the value of <math>AD/CD</math>? \\ |

− | <math>A. \dfrac{9 | + | <math>A. \dfrac{9}{8} </math> |

− | <math>B. \dfrac{5 | + | <math>B. \dfrac{5}{3} </math> |

<math>C. 2 </math> | <math>C. 2 </math> | ||

− | <math>D. \dfrac{17 | + | <math>D. \dfrac{17}{7} </math> |

− | <math>E. \dfrac{5 | + | <math>E. \dfrac{5}{2}</math> |

## Revision as of 00:41, 16 January 2010

In triangle we have , , . Point is on the circumscribed circle of the triangle so that bisects angle . What is the value of ? \\