<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 Segments defining an equilateral triangle. Three line segments of lengths 3 cm, 4 cm, and 5 cm connect an internal point \( P \) of an equilateral triangle to its vertices. What is the length of the side of this triangle? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
7
Segments defining an equilateral triangle. Three line segments of lengths 3 cm, 4 cm, and 5 cm connect an internal point \( P \) of an equilateral triangle to its vertices. What is the length of the side of this triangle?
test