
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 $PQR$, the sides $PQ$, $QR$, and $RP$ measure 17, 15, and 8 units, respectively. Let $J$ be the incenter of triangle $PQR$. The incircle of triangle $PQR$ touches side $QR$, $RP$, and $PQ$ at points $K$, $L$, and $M$, respectively. Determine the length of $PJ$.

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