# What is the Pythagorean Theorem? Find out now!

Many years back, a man who went by the name of Pythagoras stumbled upon a truly amazing fact that had to do with triangles. The theory that he came up with basically came to be known as the Pythagorean Theorem. So, what is the Pythagorean Theorem? Well, the theorem basically states that if you have a triangle with a right angle (90 degrees) at hand, and took a square of all three sides of it, then the biggest square is actually going to have the same area as that of the other two squares combined.

## Learn about the Pythagorean Theorem History

When you take a look at the Pythagorean history, you are sure to realize that it has acquired its name from a very famous mathematician who existed in ancient Greek, and went by the name of Pythagoras. Pythagoras is said to have been the first person who offered a proof in order to prove the theorem right. However, what is most interesting is the basic fact associated with the history of the Pythagorean theorem is that there isn’t a single means of ascertaining as to how Pythagoras proved the theorem for the simple reason that he did not allow anyone to record his findings and teachings in writing. The only thing known at the moment is that the proof itself was rather geometrical in nature.

## Information about the Pythagorean theorem formula

If you wish to write the Pythagorean theorem formula in the form of an equation, then you may write it as:

**a**^{2}** ****+ b**^{2}** ****= c**^{2}

Basically when you start learning about how to solve Pythagorean theorem, you will find that in it, the sum of two sides of a square is always equal to the square of its hypotenuse. This means that as long as we have information about the lengths of two sides of a right angled triangle, we would be in the position to work out or calculate the length of its third side. However, what you need to bear in mind is that the theorem is only applicable over right angled triangles.

## A few Pythagorean theorem examples

Before getting into the details of a few examples of Pythagorean theorem, let’s give a basic illustration of a right angled triangle and the theorem itself:

Now, let’s discuss some **Pythagorean theorem examples. **Let’s consider a triangle wherein a= 3, b=4 and c = 5. Let’s see if it works:

3^{2 }+ 4^{2} = 5^{2}

This means:

9 + 16 = 25

25 = 25

In diagram, this can be represented as:

## Video lesson on Pythagorean identities

More topics in Pythagorean Theorem | |

Pythagorean Theorem | Pythagorean Theorem Proof |

Engineer
San Francisco, USA
"If you're at school or you just deal with mathematics, you need to use Studygeek.org. This thing is really helpful." |
Math Teacher
New-York, USA
"I will recommend Studygeek to students, who have some chalenges in mathematics. This Site has bunch of great lessons and examples. " |
Student, Designer
Philadelphia, USA
" I'm a geek, and I love this website. It really helped me during my math classes. Check it out) " |
Bookkeeper
Vancuver, Canada
"I use Studygeek.org a lot on a daily basis, helping my son with his geometry classes. Also, it has very cool math solver, which makes study process pretty fun" |