
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
A triangle has side lengths 7, 24, and 25. Verify if it is a right triangle and if so, compute both the inradius and the circumradius of this triangle.
A) \( r = 4, R = 13 \)
B) \( r = 3, R = 12 \)
C) \( r = 2.5, R = 12.5 \)
D) \( r = 3, R = 12.5 \)

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