Well, I’m pretty sure you must have seen the below equation before.

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

For those of you who don’t recognize this, this is the famous **PYTHAGORAS EQUATION**.

Geometry took shape thousands of years ago. Though many great minds of the past had a hand in building this branch of mathematics, you hear about some more than others. One of the most famous ones is Pythagoras. He was a philosopher, teacher, and gifted mathematician, and he’s accountable for one of the foremost important rules about right triangles you’ll use in the world of geometry: the **Pythagorean Theorem**.

## About Pythagoras:

Pythagoras was born around **569 BCE** and died in** 475 BCE**. Pythagoras was born on **Samos**, an island just off the coast of present-day Turkey. it’s currently part of Greece. As a young man, he escaped political suppression and went to Croton in southern Italy. He studied in Memphis (Egypt) and Tyre and Byblos in Phoenicia.

## The Theorem And Equation:

**Theorem:** “The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.”

A right-angled triangle always has one angle measuring 90 degrees. The hypotenuse, or the longest side, will be the one directly opposite to the right angle. When you’re using the Pythagoras theorem, it’ll always be your “c” side. Which one finally ends up being “a” or “b” really doesn’t matter one way or the other, but the side across from the right angles must be “c”; otherwise, you’re setting yourself up for an enormous fall.

The theorem tells that now if we know the length of the sides of AC and BC then we know the length of AB.

**AB ^{2 }= AC^{2 }+ BC^{2}**

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

For Proof of the Theorem, you may visit this link

Pythagorean Theorem Day or Pythagoras’ Theorem Day was celebrated on 08/15/2017 because the sum of the squares of the first two digits (8 & 15) equals the square of the last digit in the date (17).

These are the upcoming **Pythagorean days**.

**December 16, 2020** (12/16/20 or 16/12/20): 12² + 16² = 20²

**July 24, 2025** (7/24/25 or 24/7/25): 7² + 24² = 25²

Pythagoras is said to have refused to allow his concepts to be written down, but his students passed along his teachings to others. Eventually, this theorem went public and gave us the ability to seek out the length of any side of a right-angled triangle as long as we have a thought of what the opposite two might be.

This equation has such immense use. It is utilized in architecture and construction, laying out square angles, navigation, surveying, and many more making it one amongst the most effective equations found ever.