
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
Suppose that  $PQ$  and  $RS$  are two chords of a circle intersecting at a point  $O$ . It is given that  $PO=3 \text{cm}$  and  $SO=4 \text{cm}$ . Moreover, the area of the triangle  $POR$  is  $7 \text{cm}^2$ . Find the area of the triangle  $QOS$ .

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