How did Pythagoras change the world?

Question:a^2+b^2=c^2!!! This is the Pythagorean theorem. It is the formula for finding the length of the hypotenuse of a right triangle. The sum of the square of the legs is equal to the square of the hypotenuse. He is also famous for his Pythagorean triples I.E 3^2+4^2=5^2. Do the math! There is an infinite number of Pythagorean triples. See also: Fermats last equation.

Best Answer - Chosen by Asker: a^2+b^2=c^2!!! This is the Pythagorean theorem. It is the formula for finding the length of the hypotenuse of a right triangle. The sum of the square of the legs is equal to the square of the hypotenuse. He is also famous for his Pythagorean triples I.E 3^2+4^2=5^2. Do the math! There is an infinite number of Pythagorean triples. See also: Fermats last equation.

Through mathematics and by the invention of Pythagorean tuning for stringed instruments and the creation of musical scales.

He contirbuted so much to modern infrastructure, engineering etc. Music scales, stringed instruments etc.

He determined that magic formula for calculating the hypotenuse of a right triangle. This is a critical foundation to the whole field of geometry. Without it, you can only measure the area of a right triangle. The pythagoreon therom gives you the ability to measure the area of a triangle of any shape. The immediate application at the time was architecture. But beyond that, without this, you would have no trigonometry. And that is absolutely critical for everything from ballistics to space travel. Then on top of that you have physics. Well, you get the idea.

This is a real cornerstone to the whole field of mathematics. As basic as the communicative nature of addition and multiplication. As basic as an alphabet is to a language.