Question

Диагонали ромба относятся как 3:4, а сторона равна 25 см. найдите диагонали ромба

Answer 1

Обозначим длины диагоналей 6х и 8х. Они относятся как 3:4.
Рассмотрим прямоугольный треугольник, получившийся при проведении диагоналей. Его катеты будут 3х и 4х, а гипотенуза 25 см.
По теореме Пифагора 25²=(3х)²+(4х)²
х²=25
х=5. Меньшая диагональ 5*6 = 30 см, а большая 5*8= 40 см.

Answer 2

Finding the Diagonals of a Rhombus

To find the diagonals of a rhombus, we need to know the ratio of the diagonals and the length of one side of the rhombus. In this case, the ratio of the diagonals is given as 3:4, and the length of one side is 25 cm.

Let's calculate the length of the diagonals.

Solution:

To find the length of the diagonals, we can use the following formula:

Diagonal 1 = (4/5) * side length Diagonal 2 = (3/5) * side length Given that the side length is 25 cm, we can substitute this value into the formula to find the length of the diagonals.

Diagonal 1 = (4/5) * 25 cm = 20 cm Diagonal 2 = (3/5) * 25 cm = 15 cm Therefore, the length of the first diagonal is 20 cm, and the length of the second diagonal is 15 cm.

I hope this helps! Let me know if you have any further questions.