
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
Three squares are positioned such that each side of a right triangle is on one side of a square. The area of the squares are 64, 36, and 100 square units, respectively. If the hypotenuse of the right triangle also forms the side of the largest square, find the area of the right triangle.

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