
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 length of edge AB is 40 units, and the lengths of the other edges of the tetrahedron ABCD are 8, 15, 17, 24, and 31 units. Determine the length of edge CD given that AB has a length of 40 units.

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