
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
Triangle \(ABC\) has its vertices \(A\), \(B\), and \(C\) on the sides of a rectangle 6 units by 8 units as displayed. What is the area of triangle \(ABC\) in square units?
- \(A\) is located at \( (0,3) \)
- \(B\) is located at \( (6,0) \)
- \(C\) is located at \( (3,8) \)

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