
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, $DE$ is 12 cm and the perpendicular height from point $F$ to line $DE$ is 15 cm. In square centimeters, what is the area of triangle $DEF$?

[asy]
defaultpen(linewidth(0.7));
draw((0,0)--(24,0)--(27,30)--cycle);
draw((24,0)--(27,0)--(27,30),dashed);
label("12 cm",(12,0),S);
label("15 cm",(27,15),E);
label("$D$",(27,30),N);
label("$E$",(0,0),SW);
label("$F$",(24,0),SE);
[/asy]

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