Are there any limitations to pythagorean theorem
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The triangle concerned MUST be a right-angle triangle. If one of
the angles is not 90 degrees, you cannot use the Pythagorean
theorem!
Also, it must be remembered that the theorem only involves the
magnitudes (lengths of the sides), you can’t use it on i-j-k
vectors or the like, only their magnitudes. As a result, it cannot
tell us anything about the directions or angles between lines.
Other than that, the Pythagorean theorem is incredibly
sound!