
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
It is said that the ancient Egyptians used a "rope stretching" method to draw right angles. Now, with a rope 24 cm long, please use it to form a right-angled triangle with a perimeter of 24 cm. The lengths of the three sides of the triangle you create are ____, and the principle behind this is ____.

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