Games : How is diagonal block distance measured in minecraft?

For example, let's say you start at point A. You move 5 blocks north and 12 blocks east and arrive at point B. Is it 13 because of the Pythagorean theory, or is it measured some other way? Does this work with vertical distances too? The reason I'm asking this is because I'm having trouble with my mob trap in the sky and im trying to figure out the distances i can still move while having the spawner work.


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