We have a triangle $\triangle ABC$ where $AC = 17,$ $BC = 15,$ and $AB = 8.$ Let $M$ be the midpoint of $AB.$ What is the length of $CM$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
We have a triangle $\triangle ABC$ where $AC = 17,$ $BC = 15,$ and $AB = 8.$ Let $M$ be the midpoint of $AB.$ What is the length of $CM$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\sqrt{241}
We have a triangle $\triangle ABC$ where $AC = 17,$ $BC = 15,$ and $AB = 8.$ Let $M$ be the midpoint of $AB.$ What is the length of $CM$?
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