Question

За допомогою теореми Піфагора побудувати відрізок який має довжину√10см. ​ Пж обьясните

Answer 1

Ответ:

Решение:
Для чертежа отрезка √10 используем прямоугольный треугольник и т.Пифагора
Теорема Пифагора
х²+у²=(√10)
Необходимо чтобы х и у были целыми числами.
Например 1²+3²=10.
Тогда два катета будут 1см и 3см.

Answer 2

Using the Pythagorean Theorem to Construct a Line Segment of Length √10 cm

To construct a line segment with a length of √10 cm using the Pythagorean Theorem, we can follow these steps:

1. Understand the Pythagorean Theorem: The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

2. Identify the Right-Angled Triangle: We need to find a right-angled triangle where the sum of the squares of the other two sides equals 10.

3. Choose the Sides: Let's assume one side of the triangle is of length a, the other side is of length b, and the hypotenuse is of length √10.

4. Apply the Pythagorean Theorem: According to the Pythagorean Theorem, the equation for this scenario is: a^2 + b^2 = (√10)^2.

5. Solve for the Sides: We can solve this equation to find the values of a and b that satisfy the conditions.

6. Construct the Line Segment: Once we have the values of a and b, we can use them to construct the line segment with the desired length of √10 cm.

By following these steps and applying the Pythagorean Theorem, we can construct a line segment with a length of √10 cm.