
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
The base of a triangular sheet of paper \( ABC \) is \( 15 \text{ cm} \) long. The paper is folded such that the crease \( DE \) is parallel to the base \( AB \). The area of the triangle that projects below the base after folding is \( 25\% \) of the area of triangle \( ABC \). Determine the length of \( DE \), in cm.

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