Pythagorean theorem is a very important theorem in mathematics, which reveals the quantitative relationship between three sides of a right triangle.

The following are 10 ways to prove Pythagorean theorem with pictures.

Pythagoras proof method

This is one of the earliest proofs of Pythagoras theorem, which was given by Pythagoras, an ancient Greek mathematician. The method of proof is to construct a right triangle and prove it with the area formula of the triangle.

Euclid proof method

Euclid was an ancient Greek mathematician, and his Elements of Geometry was the earliest axiomatic mathematical work in the world. In the book, Euclid gave a simple proof of Pythagorean theorem.

Zou's proof method

This is a proof method of China mathematician Zou in Qing Dynasty. He proved Pythagorean theorem by another calculation method of triangle area.

Pascal proof method

Pascal is a French mathematician and physicist. He skillfully used the triangle area formula to prove the Pythagorean theorem.

Leiden proof method

The Dutch mathematician Leiden proved the Pythagorean theorem by using the similar properties of triangles.

Prussian proof method

Prussian husband is a Czech mathematician. He proved the Pythagorean theorem by constructing a right triangle and using the area formula of the triangle.

Ashson proof method

Ahlsien, a Turkish mathematician, proved the Pythagorean theorem by using the internal angles and properties of triangles.

Hagsen proof method

Hagsen, a Swiss mathematician, proved the Pythagorean theorem by constructing a series of isosceles right triangles.

Newton proof method

Newton was an English mathematician and physicist. He proved Pythagorean theorem through calculus.

Pickett proof method

Pickett, an American mathematician, proved the Pythagorean theorem by using the relationship between the sides and angles of a triangle.

Summary:

The above 10 methods prove the correctness of Pythagorean theorem from different angles and ideas. Among them, direct proof and inverse theorem proof are one of the most commonly used methods, and other methods can broaden our thinking and horizons and deepen our understanding and application of Pythagorean theorem.

No matter which method is adopted, it is necessary to use relevant mathematical knowledge flexibly to deduce and calculate on the basis of understanding the theorem.