<|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
 In trapezoid \( KLMN \), the lengths of the bases are \( KN = 25 \), \( LM = 15 \), and the lengths of the legs are \( KL = 6 \), \( MN = 8 \). Find the length of the segment connecting the midpoints of the bases. 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
10
In trapezoid \( KLMN \), the lengths of the bases are \( KN = 25 \), \( LM = 15 \), and the lengths of the legs are \( KL = 6 \), \( MN = 8 \). Find the length of the segment connecting the midpoints of the bases.
test