
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 of 13, 84, and 85. Confirm whether this is a right triangle, and if so, calculate the area of the triangle, its semiperimeter, and the radius of the circle inscribed in the triangle (inradius).
A) 3
B) 5
C) 6
D) 7

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