
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
A pyramid with a rectangular base \(ABCD\) has a vertex \(E\) directly above vertex \(A\). The side \(AB = 4 \text{ cm}\). What is the length of the side \(BC\) if \(\angle BCE = 60^\circ\) and \(\angle ADE = 45^\circ\)?

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