
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 area of the quadrilateral \(P Q R S\) is 48. It is known that \(P Q = Q R = 6\), \(R S = S P\), and exactly three vertices \(P, Q,\) and \(R\) lie on a circle with radius 5. Find the sides \(R S\) and \(S P\).

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