
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
A triangle on a Cartesian coordinate plane has vertices at (3, 1), (3, 6), and (8, 6). Calculate the area of this triangle and express the answer in square units.

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