
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
The area of \(\triangle PQR\) can be calculated using the formula \(\frac{1}{2} |x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)|\) where \( (x_1, y_1) = (2, 6) \), \( (x_2, y_2) = (2, 2) \), and \( (x_3, y_3) = (8, 5) \). Calculate the area of \(\triangle PQR\).

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