Pythagorean Theorem

Pre-Algebra Tutorial

Pythagorean Theorem


The Pythagorean Theorem was introduced by the Greek mathematician, Pythagoras. It showed that for all RIGHT triangles, we take the length of the two short side (or legs) we can find the length of the long side (hypotenuse.)This equation is fairly simple to remember; A^2+B^=C^. Where A and B are the legs and C is the hypotenuse.

Sample Problem

Side A = 5
Side B = 12
What is the length of side C?

23 or 23^2 or 529

0 or 0^2 or 0

12 or 12^2 or 144

13 or 13^2 or 169


The first step we should take is making side A and B squared. So we take 5^2, which is 25, and 12^2, which is 144. Now all we have to do is add those two values together to get 169. We now take 169 and square root it, this gives us 13. Meaning the answer is Side C = 13.

Acceptable answers for this purpose are; 13, 13^2, and 169. However, please note that typically teachers will require you to simply put 13^2 or 13.

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