
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
The bases of the two touching squares shown lie on the same straight line. The lengths of the diagonals of the larger square and the smaller square are 10 cm and 8 cm respectively. P is the center of the smaller square. Determine the area, in cm\(^2\), of the shaded triangle PQR.

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