
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 vertices $A$, $B$, and $C$ of triangle $ABC$ are located on the sides of a rectangle that measures 6 units by 7 units as shown. Point $A$ is on the longer side at a distance of 2 units from the lower left corner, point $B$ is at the bottom right corner, and point $C$ is at the midpoint of the top side. Calculate the area of triangle $ABC$ in square units.

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