
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, triangle \(DEF\) is a right triangle with \(DE = 30 \mbox{ cm}\) (the base), \(DF = 24 \mbox{ cm}\) (the height), and \(\angle D = 90^\circ\). Calculate the area of triangle \(DEF\).

[asy]
draw((0,0)--(30,0)--(0,24)--cycle,black+linewidth(1));
draw((0,0)--(1,0)--(1,1)--(0,1)--cycle,black+linewidth(1));
label("$D$",(0,0),SW);
label("$E$",(30,0),SE);
label("$F$",(0,24),NW);
[/asy]

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