
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
Consider an equilateral triangle \( DEF \) where it has been creased and folded such that vertex \( D \) now rests at \( D' \) on \( \overline{EF} \). If \( ED' = 2 \) and \( D'F = 3, \) find the length of the crease \( \overline{RS} \).

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