
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
One leg of three right-angled triangles is equal, the other legs are increasing by 100 each, and the hypotenuses are increasing by 30 and 40 units, respectively. Calculate the sides.

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