Question

СРОЧНО! РЕШИТЬ С ПОМОЩЬЮ ФОРМУЛЫ 8 КЛАССА (не с помощью синусов) ДАМ 30 (60)БАЛЛОВ. Периметр ромба равен 40, а один из углов равен 30°. Найдите площадь ромба.

Answer 1

Ответ:

Объяснение:

Если периметр равен 40, то сторона ромба равна: 40:4=10. Площадь ромба равна произведению стороны на высоту. Высота равна произведению стороны на синус угла. Находим: 10*10*sin 30°== 10*10*0,5=50. Ответ:площадь ромба равна 50.

Answer 2

Perimeter of a Rhombus

To find the area of a rhombus, we first need to find its side length. Given that the perimeter of the rhombus is 40, we can divide this value by 4 to find the length of each side.

The formula for the perimeter of a rhombus is:

Perimeter = 4 * side length

Therefore, if the perimeter is 40, each side length would be 40/4 = 10.

Finding the Area of a Rhombus

To find the area of a rhombus, we can use the formula:

Area = (diagonal 1 * diagonal 2) / 2

However, we don't have the diagonals of the rhombus given in the question. Instead, we are given the measure of one of the angles, which is 30 degrees.

Unfortunately, with only the measure of one angle, we cannot directly calculate the area of the rhombus. We need either the length of one of the diagonals or the length of the side.

Therefore, without additional information, it is not possible to find the area of the rhombus based on the given data.

If you have any additional information or if there is anything else I can help you with, please let me know!