Pythagorean theorem is a basic geometric theorem. In China, the formula and proof of Pythagorean Theorem are recorded in Zhouyi Shujing, which is said to have been discovered by Shang Dynasty's Shang Dynasty, so it is also called Shang Gao Theorem. Jiang Mingzu in the Three Kingdoms period made detailed comments on Pythagorean theorem in Jiang Mingzu's calculation, and gave another proof.
The sum of the squares of the sides of two right angles (namely "hook" and "strand") of a right triangle is equal to the square of the side length of the hypotenuse (namely "chord"). That is to say, if the two right angles of a right triangle are A and B and the hypotenuse is C, then A? +b？ =c？ . There are about 400 ways to prove Pythagorean theorem, which is one of the most proven theorems in mathematics.
Zhao Shuang gave "Zhao Shuang's string diagram" in the annotation of Zhou Bi suan Jing, which proved the correctness of Pythagorean theorem. Pythagorean matrix is a? +b？ =c？ Positive integer group (a, b, c) of. (3,4,5) is the Pythagorean number.
The main significance of Pythagorean theorem:
1, Pythagorean theorem is the first theorem to connect two most basic and primitive objects in mathematics-number and shape.
2. Pythagorean theorem leads to the discovery of incommensurable measure, which profoundly reveals the difference between number and quantity, that is, the difference between so-called "irrational number" and rational number. This is the so-called first mathematical crisis.
3. Pythagorean theorem began to transform mathematics from the technology of calculation and measurement into the science of proof and reasoning.
4. The formula in Pythagorean theorem is the first indefinite equation, and it is also the earliest indefinite equation to get a complete solution. On the one hand, it leads to various indefinite equations, on the other hand, it sets a paradigm for the problem-solving procedure of indefinite equations.
Pythagorean theorem is widely used in geometry.