
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 certain plane, points are placed such that each vertical and horizontal distance between adjacent points is 1 unit. Given that point \( A \) is at coordinate (0,0), point \( B \) is at (1,2), and point \( C \) is at (3,0), determine the area of triangle \( ABC \).
A) 2
B) 3
C) 2.5
D) 4
E) 5

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