
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 square-based pyramid has both its base edge and height measuring $40 \mathrm{~cm}$. We want to draw a line on the side faces from one vertex of the base to the opposite vertex of the base. How long is the shortest such line?

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