
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
Given coordinates of vertices of a triangle $PQR$ are $P(1, 1)$, $Q(4, 1)$, and $R(3, 4)$ on a coordinate grid. What is the area of triangle $PQR$?
A) $\frac{3}{2}$
B) $\frac{9}{2}$
C) $\frac{7}{2}$
D) $5$

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