2004 AMC 10B Problems/Problem 24

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In triangle $ABC$ we have $AB=7$, $AC=8$, $BC=9$. Point $D$ is on the circumscribed circle of the triangle so that $AD$ bisects angle $BAC$. What is the value of $AD/CD$? $A. \dfrac{9/8}$ (Error compiling LaTeX. Unknown error_msg) $B. \dfrac{5/3}$ (Error compiling LaTeX. Unknown error_msg) $C. 2$ $D. \dfrac{17/7}$ (Error compiling LaTeX. Unknown error_msg) $E. \dfrac{5/2}$ (Error compiling LaTeX. Unknown error_msg)