
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 triangle $PQR$ with $PQ = 40$, $PR = 42$, and $QR = 58$, let $I$ be the intersection of the internal angle bisectors of $\triangle PQR$. What is the length of $PI$?
- A) 12
- B) 28
- C) 30
- D) 15

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