
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
Consider a rectangle $ABCD$ with $AB = 8$ units and $BC = 6$ units. A line segment starts moving from vertex $A$ towards vertex $C$ along the diagonal $AC$. The line segment maintains perpendicularity to the diagonal at all times. As the segment moves, its length varies. Determine the maximum length achieved by this segment during its trip from $A$ to $C$.
A) 2 units
B) 4 units
C) 5 units
D) 10 units

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