Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem).
In fact Pythagorean theorem is an 'axiom', a kind of 'super law'.
It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
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Pythagorus
B = (4100x4100) - (14500x14500)
Any time you measure distance using triangulation or utilise angles in theorems.
The great pythagorean theorm: a(squared) + b(squared) = c(squared)
Cool question ! Answer - half it then cube it to prove it - an example for you if cube diagonal (not square diagonal) is 100, then using pythagoras theorm the square diagonal = 70.71068, If square the square diagonal = 70.71068, then using pythagoras theorm the side length = 50 therefore the volume = 50 ^ 3 = 25000 units works with any numbers