
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 $6, 8,$ and $10$ inches is folded so that point $B$ falls on point $C$. Determine the length in inches of the crease.
A) $\frac{10}{3}$
B) $\frac{16}{3}$
C) $6$
D) $\frac{20}{3}$

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