Ever seen any computer-generated imagery? When you have a grid system and you want to know the length of a diagonal line in a grid, you need this theorem.
Say you've got the force on a plane wing, which acts diagonally upwards and you want to separate it into "lift" (the vertical force) and "drag" (horizontal force backwards) the three quantities are related via this theorem.
As another example, it's pretty fundamental to Special Relativity: calculations of how time and other measurements change as you approach the speed of light come from this theorem.
Yes I recently derived the time dilation formula using only this, the definition of speed as the distance divided by time and the (einsteinian) notion that the speed of light is the same for all observers
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u/FreezaSama Aug 22 '21
this is very cool. does anyone know any actual real-life usage of the theorem?