Pythagoras Theorem

The Pythagorean theorem is an easy to use relation in geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. To support tecmath on Patreon: https://www.patreon.com/tecmath BTW for those interested - Pythagorean history is fascinating! Pythagoreanism originated in the 6th century BC, based on the teachings and beliefs held by Pythagoras and his followers, the Pythagoreans. Pythagoras established the first Pythagorean community in Italy. These guys were into the divinity of numbers and were a fully blown religion! Of all the stories of the Pythogeans - one on my favourite is the one Hippasus - a devoted follower. Legend has it that he was the first person to prove the existence of an irrational number—he showed that the square root of two was an irrational, never-ending number. This was more than just a major discovery—it was open rebellion! Pythagoras had taught that all numbers could be expressed as ratios of integers, and Hippasus had proven his divine teacher wrong.According to the legend, Hippasus showed his proof to Pythagoras while they were on a boat. In response, Pythagoras grabbed Hippasus, wrestled him to the side of the boat, and held his head underwater until he stopped moving. Then Pythagoras threw the lifeless body overboard, turned to the others aboard, and warned them never to tell a soul what had happened.That story is probably not true. It seems to be a twisted version of a Pythagorean fable that said Hippasus was drowned by the gods as punishment for disclosing the secret of irrational numbers to the world.But that story still reveals something creepy about the Pythagorean cult. They spread this story, it’s believed, as a parable—a warning telling their followers that if they shared the cult’s secrets with the world, they could expect a watery grave. To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To donate to the tecmath channel: https://paypal.me/tecmath?locale.x=en_AU To support tecmath on Patreon: https://www.patreon.com/tecmath To buy tecmath mechandise: https://teespring.com/stores/tecmath-store