<|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
 Three equally spaced parallel lines intersect with a circle, resulting in three chords of lengths 38, 38, 34 units. Find the distance between two adjacent parallel chords. Express your answer in units as a whole number. 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
6
Three equally spaced parallel lines intersect with a circle, resulting in three chords of lengths 38, 38, 34 units. Find the distance between two adjacent parallel chords. Express your answer in units as a whole number.
test