
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
Senya has three straight sticks, each 24 centimeters long. He broke one of them into two parts such that from these two pieces and the two whole sticks, he was able to form the outline of a right triangle. How many square centimeters is the area of this triangle?

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