
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, $AB = 30 \mbox{ cm},$ $AC = 15 \mbox{ cm},$ and $\angle A = 90^\circ.$ Calculate the area of triangle $ABC.$

[asy]
draw((0,0)--(30,0)--(0,15)--cycle,black+linewidth(1));
draw((0,0)--(1,0)--(1,1)--(0,1)--cycle,black+linewidth(1));
label("$A$",(0,0),SW);
label("$B$",(30,0),SE);
label("$C$",(0,15),NW);
[/asy]

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