# What is the Pythagorean Theorem?

##### 2 Answers

The Pythagorean Theorem is a relation in a right-angled triangle. The rule states that

Trust me, it's a very helpful topic in Geometry and you can learn more about it down below!

#### Explanation:

The Pythagorean Thereom (found by Pythagoras aka Pythagoras of Samos) is used to find the length of a side of a right triangle using the formula

A right triangle has two "legs" and a hypotenuse. A hypotenuse is the longest side of a right triangle and is always the opposite of the right angle corner. The legs can be a or b (it doesn't matter which is

In this case, lets say that

After substituting...

After simplifying...

Now, solve it!

Whoa, whoa, wait a second before you finalize that as the answer! We can simplify this. It's just not

Remember, we don't use the Pythagorean Theorem *just* for the hypotenuse! We can use it for the other sides, too! Ex:

In *this* problem, we know the hypotenuse, but we need to find out what one of the "legs" is. Lets say that

After substituting...

After simplifying...

Leave

There! We have it! I hope you have a better clarity of the Pythagorean Thereom and understand it! My source (despite the images) is my mind! Sorry if my answer is too long!