
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
A triangular piece of paper has sides of lengths $5$, $12$, and $13$ inches. The triangle is folded such that point $A$ (opposite the side of length $13$) falls on point $B$ (one endpoint of the side of length $13$). What is the length in inches of the crease formed by the fold?
A) $5\sqrt{3}$
B) $6\sqrt{2}$
C) $\frac{15}{2}$
D) $8$

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