
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the triangle shown where angles $M$, $N$, and $L$ are the vertices, $MN$ is horizontal, and $ML$ is vertical. Suppose $\sin N = \frac{5}{13}$, and the length of $LM = 10$. Calculate the length of $LN$, the hypotenuse of triangle $MLN$.

Present the answer in LaTex format: \boxed{Your answer}
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