My geometry students all know the Pythagorean Theorem, but they often don’t know why it’s true. Here’s one of my favorite visual proofs of the venerable theorem (I put this together using Geometer’s Sketchpad).
The Pythagorean Theorem
FracTad's Fractopia
Musings on Math, Music, Miscellanea
FracTad's Fractopia 
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And when we bestow existence upon a number we only acknowledge its
existence.