
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 rectangle $ABCD$ with dimensions $AB=240 \mathrm{~cm}$ and $BC=288 \mathrm{~cm}$ represents a paper that will be folded along segment $EF$, where $E$ belongs to $AD$ and $F$ belongs to $BC$, such that point $C$ will be over the midpoint of $AB$.

a) What is the length of $C C^{\prime}$?

b) What is the length of $EF$?

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