
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 of size 3 units by 7 units. Vertices $A$ and $B$ lie at the bottom left and bottom right corners of the rectangle, respectively, and vertex $C$ is at the middle of the top side. What is the area of triangle $ABC$?

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