
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
In a scalene triangle, two sides adjacent to the right angle measure 30 inches and 24 inches, and the hypotenuse from the previous right triangle is now used as the height dropped perpendicular from the opposite vertex to form a height of 18 inches. What is the area of this triangle?

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