
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 $PQR$?
[asy]
unitsize(1.5mm);
defaultpen(linewidth(.7pt)+fontsize(8pt));
dotfactor=4;

pair P=(-4,2), Q=(8,2), R=(6,-4);
pair[] dots={P,Q,R};
real[] xticks={-5,-4,-3,-2,-1,1,2,3,4,5,6,7,8,9};
real[] yticks={3,2,1,-1,-2,-3,-4,-5,-6,-7,-8};

draw(P--Q--R--cycle);
dot(dots);

label("P(-4,2)",P,N);
label("Q(8,2)",Q,N);
label("R(6,-4)",R,S);

xaxis(-6,10,Ticks(" ", xticks, 3),Arrows(4));
yaxis(-9,5,Ticks(" ", yticks, 3),Arrows(4));
[/asy]

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