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>? | ||
| − | A. 9/8 | + | <math>A. \dfrac{9/8} </math> |
| − | B. 5/3 | + | <math>B. \dfrac{5/3} </math> |
| − | C. 2 | + | <math>C. 2 </math> |
| − | D. 17/7 | + | <math>D. \dfrac{17/7} </math> |
| − | E. 5/2 | + | <math>E. \dfrac{5/2}</math> |
Revision as of 23:40, 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 
?
$A. \dfrac{9/8}$ (Error compiling LaTeX. Unknown error_msg)
$B. \dfrac{5/3}$ (Error compiling LaTeX. Unknown error_msg)
$D. \dfrac{17/7}$ (Error compiling LaTeX. Unknown error_msg)
$E. \dfrac{5/2}$ (Error compiling LaTeX. Unknown error_msg)
