Question

Стороны параллелограмма равны 6 см и 8 см, а угол между ними равен 30 градусам. Найти: S параллелограмма.

Answer 1

Опускаем высоту - это катет напротив угла 30 гр, гипотенуза - 6 (или 8), значит высота 3 (или 4). Умножаем на основание 3*8 (или 4*6) =24.
2х+3Х=25, х=5, Диагонали ромба 10и 15, Площадь - половина их произведения 15*10/2=75.Если помог скажи или Поставь Спасибо))

Answer 2

Finding the Area of a Parallelogram

To find the area of a parallelogram, we can use the formula: Area = base × height.

In this case, the sides of the parallelogram are given as 6 cm and 8 cm, and the angle between them is 30 degrees.

To find the height of the parallelogram, we can use trigonometry. The height is the perpendicular distance between the base and the opposite side.

Let's calculate the height using the given information.

Calculating the Height of the Parallelogram

To calculate the height of the parallelogram, we can use the formula: height = side × sin(angle).

Given: - Side 1 = 6 cm - Side 2 = 8 cm - Angle = 30 degrees

Using the formula, we can calculate the height as follows:

height = 6 cm × sin(30 degrees) height = 6 cm × 0.5 height = 3 cm

So, the height of the parallelogram is 3 cm.

Calculating the Area of the Parallelogram

Now that we have the base and the height of the parallelogram, we can calculate the area using the formula: Area = base × height.

Given: - Base = 8 cm - Height = 3 cm

Using the formula, we can calculate the area as follows:

Area = 8 cm × 3 cm Area = 24 cm²

Therefore, the area of the parallelogram is 24 cm².

Please let me know if there's anything else I can help you with!