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 23:41, 15 January 2010
In triangle 
we have 
, 
, 
. Point 
is on the circumscribed circle of the triangle so that 
bisects angle 
. What is the value of 
? \\
