
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
$P$ is a point inside rectangle $ABCD$ with $PA = 5$ inches, $PD = 3$ inches, and $PC = 7$ inches. Determine the length of $PB$, in inches.
A) $\sqrt{65}$
B) $\sqrt{75}$
C) $\sqrt{85}$
D) $\sqrt{95}$

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