
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, $AB = 30 \mbox{ cm},$ $BC = 40 \mbox{ cm},$ and $\angle B = 90^\circ.$ What is the area of triangle $ABC?$

[asy]
draw((0,0)--(0,30)--(-40,0)--cycle,black+linewidth(1));
draw((0,0)--(-1,0)--(-1,-1)--(0,-1)--cycle,black+linewidth(1));
label("$B$",(0,0),NE);
label("$A$",(0,30),NW);
label("$C$",(-40,0),SW);
[/asy]

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