
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 900 square feet. Find the altitude, in feet, of the triangle if the length of the corresponding base is 45 feet. After finding the altitude, verify your calculation by using the triangle's area formula again.

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