
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
As shown in the diagram, quadrilateral $\mathrm{PQRS}$ satisfies $\mathrm{PQ} = \mathrm{PS} = 25$ cm, $\mathrm{QR} = \mathrm{RS} = 15$ cm. Draw $\mathrm{ST} \parallel \mathrm{QR}$, intersecting $\mathrm{PQ}$ at point $\mathrm{T}$. If $\mathrm{PT} = 15$ cm, then find $\mathrm{TS}$ in cm. (Note: Since $\{\mathrm{PQ}=\mathrm{PS}$, $\mathrm{QR}=\mathrm{RS}\}$, we know that $\triangle \mathrm{PQR}$ and $\triangle \mathrm{PSR}$ are identical in shape and size, thus the areas of the two triangles are equal).

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