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Pythagoras invented the Pythagorean Theorem of course, but it only can work for right triangles, not any other triangle. The formula is- A2+B2=C2
The height of?æ a cone is found by use of Pythagoras theorem. Pythagoras theorem states that the sum of the squares of two shorter sides (in this case, the shorter sides are?æ the height and radius of the cone) are equal to?æ the square of the longer side (for this case the longer side is the length of the cone).
With Pythagoras' theorem: diagonal2- length2 = width2
It can be proven to an extent but if the sides of a right angle triangle are equal in length then using Pythagoras' theorem is impossible to exactly find the length of its hypotenuse which will always be an irrational number that can't be determined.It is a theorem, not a theory. They are not the same. A theorem is shown to be true based on axioms, what is already known to be true. It does not need to be proven using a scientific method.
If you assume the vector is only in two dimensions, you can find the missing y-component with Pythagoras' Theorem: y = square root of (magnitude2 - x2).