
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 \(x > 0\), a triangle has vertices at \((0, 0)\), \((x, 3x)\), and \((x, 0)\). What is the value of \(x\) if the area of this triangle is 81 square units?

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