Pythagoras's Theorem and Special Relativity

The Minkowski Metric Tensor in special relativity has pretensions of occupying a so-called four dimensional space-time continuum where Pythagoras’s theorem continues to operate as normal. It will now be argued that if Pythagoras’s Theorem can hold outside of three dimensions, then the only possibility might be in the special case of seven dimensions, but that even this would be highly doubtful.