The Pythagorean Theorem was named after famous Greek mathematician Pythagoras.

It is an important formula that states the following:

In any right triangle,

Let a and b be the length of the other two sides, called legs

The theorem states that the length of the hypotenuse squared is equal to the length of side a squared and the length of side b squared

Written as an equation,

c2 = a

Thus, given two sides, the third side can be found using the formula

We will illustrate with examples

Before proceeding, you should know How to find the square root of a number and how to solve equations using subtraction

Exercises #1

Let a = 3 and b = 4. Find c, or the longest side

c

c

c

c

c = √25

The sign (√) means square root

c = 5

Exercises #2 Let c = 10 and a = 8. Find b, or the other leg.

c

10

100 = 64 + b

100 - 64 = 64 - 64 + b

36 = 0 + b

36 = b

b = √36 = 6

Let c = 13 and b = 5. Find a

c

13

169 = a

169 - 25 = a

144 = a

144 = a

a = √144 = 12

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