For what value of $a$ is there a right triangle with sides $a + 1$, $6a$, and $6a + 1$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
For what value of $a$ is there a right triangle with sides $a + 1$, $6a$, and $6a + 1$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
10
For what value of $a$ is there a right triangle with sides $a + 1$, $6a$, and $6a + 1$?
train