Pythagoras’ Theorem a² + b² = c²

Pythagoras of Samos discovered a useful formula for finding the unknown side length of a right triangle.

He found that if you squared the length of the legs (base & height) of a right triangle; you can find the length of the hypotenuse by adding those two squares (a² + b²).

For example, lets say that the known legs (base & height) of the triangle are 3 & 4

3² + 4² = c²

Once you find the total of those two squared legs. You will find the square of the hypotenuse (the longest side of the triangle).

For example:

3² + 4² = 9 + 16 = 25          so c² = 25

Now that you have the square of the hypotenuse – find the square root of that number to acquire the actual length of that side.

√25  =  5

check out these links for a demonstration:

http://www.youtube.com/watch?v=0HYHG3fuzvk

http://www.youtube.com/watch?v=ku4rEwRxZOc

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