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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!

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14y ago

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