
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
What is the area, in square units, of triangle $ABC$?
[asy]
unitsize(1.5mm);
defaultpen(linewidth(.7pt)+fontsize(8pt));
dotfactor=4;

pair A=(-2,3), B=(6,3), C=(3,-4);
pair[] dots={A,B,C};
real[] xticks={-3,-2,-1,1,2,3,4,5,6,7};
real[] yticks={4,3,2,1,-1,-2,-3,-4,-5};

draw(A--B--C--cycle);
dot(dots);

label("A(-2,3)",A,N);
label("B(6,3)",B,N);
label("C(3,-4)",C,S);

xaxis(-4,8,Ticks(" ", xticks, 3),Arrows(4));
yaxis(-5,5,Ticks(" ", yticks, 3),Arrows(4));
[/asy]

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