
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
In the diagram below, $AB$ is 12 cm and $BC$ is placed vertically forming a right angle at $B$. In square centimeters, what is the area of triangle $ABC$?

[asy]
defaultpen(linewidth(0.7));
draw((0,0)--(0,9)--(12,0)--cycle);
label("12 cm",(6,0),S);
label("9 cm",(0,4.5),W);
label("$A$",(0,9),N);
label("$B$",(0,0),SW);
label("$C$",(12,0),SE);
[/asy]

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