
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
Triangle $PQR$ has vertices $P = (2,1)$, $Q = (1,4)$, and $R$, where $R$ is on the line $x + y = 8$. What is the area of $\triangle PQR$?
A) 6  
B) 9  
C) 12  
D) 15

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