
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
Given that R is on Q S and Q R = 8, P R = 12, ∠ P R Q = 120°, and ∠ R P S = 90°, calculate the area of triangle Q P S.

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