
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 paper triangle with sides of lengths $5, 12,$ and $13$ inches is folded such that vertex $A$ (opposite the longest side) meets vertex $C$ (opposite the side of length 5). What is the length in inches of the crease?
A) $10$
B) $11$
C) $12$
D) $13$

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