
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
In a quadrilateral with diagonals that are mutually perpendicular, the square root of the sum of the squares of two opposite sides is equal to the diameter of the circle circumscribed around this quadrilateral.

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