Draw a triangle with a side length of 345, and the angles corresponding to the sides with a side length of 5 are right angles. There are still rules between the sides of this triangle. Can you find it? Pythagorean theorem is a basic geometric theorem, which means that the sum of the squares of two right angles of a right triangle is equal to the square of the hypotenuse. In ancient China, right-angled triangles were called Pythagorean Theorem, the smaller right-angled side was a hook, the other longer right-angled side was a chord, and the hypotenuse was a chord, so this theorem was called Pythagorean Theorem, and some people called it quotient height theorem.

There are about 500 ways to prove Pythagorean theorem, and Pythagorean theorem is one of the most proven theorems in mathematics. Pythagorean theorem is one of the important mathematical theorems discovered and proved by human beings in the early days. It is one of the most important tools to solve geometric problems with algebraic ideas, and it is also one of the ties of the combination of numbers and shapes. In China, Shang Gao put forward a special case of the Pythagorean theorem of "three shares, four mysteries and five". In the west, the Pythagorean school of ancient Greece in the 6th century BC first proposed and proved this theorem. He proved by deduction that the square of the hypotenuse of a right triangle is equal to the sum of the squares of two right angles. [ 1]

Chinese name

pythagorean theorem

Foreign name

Pythagoras theorem

Another name

Quotient height theorem, Pythagoras theorem, Hundred Cows theorem

express

a2+b2=c2

presenter

Pythagoras Zhao Shuang Shang Gao