
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 sides of a right triangle are integers. The doubled numerical value of the triangle's area is equal to three times the numerical value of its perimeter. What are the sides of the triangle?

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