
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 rectangular piece of paper 8 inches wide is folded as in the diagram so that one corner touches the opposite side, forming an exact 45-degree angle at the point of contact. Determine the length in inches of the crease L in terms of angle $\theta$.
A) $3\sqrt{2}$
B) $4\sqrt{2}$
C) $5\sqrt{2}$
D) $6\sqrt{2}$

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