Question

найти диагональ прямоугольника если стороны равны 9 и 12 см

Answer 1

Диагональ прямоугольника - это гипотенуза прямогульного треугольника, где два катета с длинами сторон 9 и 12. Находится по теореме Пифагора:

9^2+12^2=81+144=225

225(под корнем)=15

15 см - длина диагонали

Answer 2

Calculating the Diagonal of a Rectangle with Sides of 9 and 12 cm

To find the diagonal of a rectangle when the sides are 9 and 12 cm, we can use the Pythagorean theorem, which 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.

Using the Pythagorean theorem:

The formula for the Pythagorean theorem is: c^2 = a^2 + b^2, where c is the length of the hypotenuse (the diagonal in this case), and a and b are the lengths of the other two sides.

So, for a rectangle with sides of 9 and 12 cm, the diagonal (d) can be calculated as follows:

d^2 = 9^2 + 12^2 d^2 = 81 + 144 d^2 = 225 d = √225 d = 15 cm

Therefore, the diagonal of the rectangle with sides of 9 and 12 cm is 15 cm.