What Is the Pythagorean Theorem?

Pythagorean theorem is a basic geometric theorem, which means that the sum of the squares of two right-angled sides of a right triangle is equal to the square of the hypotenuse. In ancient China, a right-angled triangle was called the pythagorean shape, and the smaller of the right-angled sides was the hook, and the other long-right-angled side was the strand, and the hypotenuse was the chord.

In a right triangle on a plane, the squares of the sides of the two right sides add up to the square of the length of the hypotenuse. If two right-angled sides of a right-angled triangle are set to be

with

, The length of the hypotenuse is

, Then it can be expressed in mathematical language:

Pythagorean theorem is

Pythagorean array

Pythagorean arrays satisfy the Pythagorean theorem

of

1. The proof of the Pythagorean theorem is the beginning of the argument geometry; ^[1]

2. Pythagorean theorem is the first theorem in history to associate numbers with shapes, that is, it is the first theorem to associate geometry with algebra; ^[1]

3 The Pythagorean theorem led to the discovery of irrational numbers, caused the first mathematical crisis, and greatly deepened people's understanding of numbers; ^[1]

4 The Pythagorean theorem is the first indefinite equation in history to give a complete solution, which leads to Fermat's Theorem; ^[1]

5. Pythagorean theorem is the basic theorem of Euclidean geometry and has great practical value. This theorem is not only a dazzling pearl in geometry, known as "the cornerstone of geometry", but also widely used in advanced mathematics and other scientific fields. On May 15, 1971, Nicaragua issued a set of stamps entitled "Ten Mathematical Formulas That Change the Face of the World". These ten mathematical formulas were selected by famous mathematicians. The Pythagorean Theorem was the first of these. ^[1]