
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
Four unit squares are arranged to form a larger square. If $A$, $B$, and $C$ are vertices such that $A$ is at the top left corner of the top left square, $B$ is at the top right corner of the top right square, and $C$ is at the bottom right corner of the bottom right square, calculate the area of $\triangle ABC$.

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