Answer? +b？ =c？ It is the basic form of Pythagorean theorem, which shows that in a right triangle, the sum of squares of two right-angled sides is equal to the square of hypotenuse. This theorem is very important in geometry and is widely used to solve problems related to right triangles.
Pythagorean theorem reflects the inherent properties of right triangle, which comes from some basic mathematical principles and axioms. In a right-angled triangle, the length of the right-angled side is determined, and the length of the hypotenuse is also determined, so the length of the other right-angled side can be calculated according to the Pythagorean theorem.
Pythagorean theorem in addition to the basic Pythagorean theorem formula, there are some variants, such as: C? -B? =a？ 、c？ -a？ =b？ Wait a minute. These formulas are all derived from the basic formulas, and their scope of application is as wide as the basic formulas.
Application of Pythagorean Theorem:
1. Solving practical problems: Pythagorean theorem plays an important role in solving practical problems. In the construction industry, engineers often use Pythagorean theorem to calculate the size and angle of buildings. In aviation, navigation, transportation and other fields, Pythagorean theorem is also widely used to calculate parameters such as distance, height and angle.
2. Mathematics education: Pythagorean theorem is also very important in mathematics education. It is one of the important contents of middle school mathematics curriculum, which is used to introduce the basic concepts and principles in geometry. By learning and mastering Pythagorean theorem, students can better understand the basic concepts and principles in geometry and improve their mathematical literacy and problem-solving ability.
3. Scientific exploration: Pythagorean theorem is also widely used in scientific exploration. For example, in physics, Pythagorean theorem can be used to calculate physical quantities such as force, velocity and acceleration. In geophysics, Pythagorean theorem can be used to calculate radius of the earth, the earth's rotation speed and the acceleration of the earth's gravity. In cosmology, Pythagorean theorem is also used to calculate the distance, velocity and acceleration of celestial bodies.