
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
The area of a triangle is 450 square feet and its perimeter is required. If the length of one side (considered as the base) is 25 feet, find the altitude corresponding to this base and the perimeter, assuming the triangle is equilateral.

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