
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
Rectangle $PQRS$ has $PQ = 10$ and $QR = 12$. Point $N$ is the midpoint of diagonal $\overline{PS}$, and $T$ is on $PQ$ such that $\overline{NT} \perp \overline{PS}$. What is the area of $\triangle PNT$?
A) $\frac{\sqrt{244} \sqrt{41}}{4}$ 
B) $\frac{\sqrt{244} \sqrt{61}}{4}$ 
C) $\frac{\sqrt{244} \sqrt{61-x^2}}{4}$ 
D) $15.25$ 
E) None of the above

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