
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 the diagram, $\angle PQR = \angle PRQ$. If $QR = 8$ and the area of $\triangle PQR$ is 24 square units, find the length of side $PR$. Assume the triangle's height from point $P$ to line $QR$ falls exactly at the midpoint of $QR$.

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