A conversation between User and Assistant. The user asks a question, and the Assistant solves it. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer.
User: Find the incircle radius of triangle ABC whose vertices are A=(-5, 5), B=(5, 0), and C=(-10, 1). 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>.
Assistant: Let me solve this step by step.
<think>
user