
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 right triangles $PQR$ and $PRS$, triangle $PQR$ has $PR = 15$ units and $PQ = 8$ units. The point $S$ lies on the extension of $QR$, and $RS = 17$ units. What is the length of segment $PS$, in units?

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