
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 $\triangle PQR$, let $PQ = PR = 10$ and $QR = 5$. Point $S$ is on line $QR$ such that $R$ is between $Q$ and $S$ and $PS = 13$. What is the length of $RS$?

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