
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
A rectangle has dimensions 6 units by 8 units. Within this rectangle, a triangle is formed with vertices $A$, $B$, and $C$. Vertex $A$ is located at (0,2) on the left side, vertex $B$ is at (6,0) at the bottom right corner, and vertex $C$ is at (3,8) along the top side. Calculate the area of triangle $ABC$.

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