Pythagorean theorem drawing problem

The steps to solve the Pythagorean theorem drawing problem are as follows:

1. Determine the right triangle: First, determine a right triangle with an angle of 9 degrees. In a right triangle, except for the angle of 9 degrees, the sum of the other two angles is 9 degrees.

2. Determine the length of each side: According to the requirements of the topic, determine the length of the three sides of the right triangle. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of two right-angled sides. This is the basic form of Pythagorean theorem.

3. Drawing: Draw a right triangle according to the determined length of each side. You can use compasses, rulers and other tools to complete the drawing.

4. dimensioning: in the drawing, the length and angle of each side are marked. You can use tools such as protractor and scale to complete the marking.

5. Prove Pythagorean Theorem: Prove the correctness of Pythagorean Theorem according to the drawn figure and the marked size. You can use trigonometric functions and other methods to prove it.

Examples of Pythagorean Theorem:

1. Architecture: Pythagorean Theorem is widely used in architecture. Designers can determine the shape and size of buildings by using Pythagorean theorem to ensure their stability and bearing capacity.

2. Navigation: In navigation, Pythagorean theorem is used to determine the position of ships in the ocean. When a ship sails at sea, it needs to know its latitude and longitude to determine its position. Using Pythagorean Theorem, the navigator can calculate the distance and angle, thus determining his position and navigating to his destination.

3. Radio navigation: In radio navigation, Pythagorean theorem is also used to determine the position of objects. By using radio signals to measure distance and angle, an object can determine its position.

4. Photography: In photography, Pythagorean theorem can help photographers determine the focal length and shooting distance of the lens. By using Pythagorean theorem, the photographer can calculate the relationship between the focal length of the lens and the shooting distance, so as to obtain the best shooting effect.

5. Engineering: In engineering, Pythagorean theorem can help designers determine the strength and stability of structures. Designers can determine the stress and strain in the structure by using Pythagorean theorem to ensure the safety and stability of the structure.