<|im_start|>system
You are a helpful assistant. You first thinks about the reasoning process in the mind and then provides the user with the answer.<|im_end|>
<|im_start|>user
Consider triangle ABC with coordinates A=(-2, 0), B=(-10, 8), and C=(-3, -2). Compute the radius of its incircle. Show your work in <think> </think> tags. Round the radius to 3 decimal places and return it in <answer> </answer> tags, for example <answer> 2.176 </answer>.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user