For any right triangle, the sum of the squares on the legs is equal to the square on the hypotenuse. Sometimes folks just shorten it to a^2 + b^2 = c^2.I know, right? Prove the Pythagorean Theorem!? No way.
Here's one example from @kayfayayyy's blog--she thinks she's going to be a math teacher one day--except here she is, showing her students a supposed 3-4-5 right triangle. Oh yes, very clever Miss Fayayyy (if that's even your real name).
You've learned your lessons well: just dangle some candies in front of your kids and they'll believe anything you say. You can read more about her lies at her blog if you like.
But what Miss Fayayyy doesn't know about candy is that it likes to play both sides. How about this 3-5-6 right triangle?
Go ahead, count the Skittles. 9 + 25 = 36? No way, man. There it is: a counter-example, in all its Wild Berry flavor glory. We must conclude that the Pythagorean Theorem is false.