
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
If one leg of a right triangle is increased by 5 and the other leg is decreased by 5, then its area increases by 5. How does the area of the square drawn on the hypotenuse change?

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