The three deformation formulas of Pythagorean theorem are a=k(m? +n？ )，b=2kmn，c=k(m？ +n？ )
Pythagorean theorem, also known as Pythagorean theorem, quotient height theorem, bride's seat theorem and Hundred Cows theorem, is a basic and important theorem in plane geometry.
Pythagorean theorem shows that the sum of squares of the lengths of two right-angled sides of a right-angled triangle on a plane (called hook length and head in ancient times) is equal to the square of the length of hypotenuse (called chord length in ancient times). On the other hand, if the sum of squares of two sides of a triangle on the plane is equal to the square of the third side, it is a right triangle (the opposite side of the right angle is the third side).
Extended data:
Significance of Pythagorean Theorem
1, the proof of Pythagorean theorem is the beginning of demonstrating geometry; ?
2. Pythagorean theorem is the first theorem in history that connects numbers with shapes, that is, the first theorem that connects geometry with algebra;
3. Pythagorean theorem led to the discovery of irrational numbers and the first mathematical crisis, which greatly deepened people's understanding of logarithms; ?
4. Pythagorean theorem is the first indefinite equation in history to give a complete solution, which leads to Fermat's last theorem; ?
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, but also widely used in advanced mathematics and other scientific fields.
1971May 15, Nicaragua issued a set of stamps entitled "Ten Mathematical Formulas for Changing the World". These ten mathematical formulas are all selected by famous mathematicians, and Pythagorean theorem is the first one. ?
Baidu Encyclopedia-Zhao Shuangxian
Baidu encyclopedia-Pythagorean theorem