
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 longer leg of a right triangle is 3 feet shorter than three times the length of the shorter leg. The area of the triangle is 84 square feet. What is the length of the hypotenuse, in feet?

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