
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 a right-angled paper triangle with sides $6, 8,$ and $10$ inches, the triangle is folded along a line such that point $A$ on the longest side is folded to point $B$ on the opposite side. The length of the fold passes through the vertex opposite the longest side, which is oriented horizontally. Calculate the length in inches of the crease.
A) $4$ inches
B) $5$ inches
C) $5.5$ inches
D) $6$ inches

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