<|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
Find the incircle radius of triangle ABC whose vertices are A=(-1, -2), B=(-5, 2), and C=(0, -2). 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