
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
On the sides of an isosceles right triangle with the hypotenuse outside of this triangle, squares are constructed. The centers of these squares are connected to each other. Find the area of the resulting triangle.

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