
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 shorter leg of a right triangle is 3 feet less than half of the longer 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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