Question

Найдите площадь параллелограмма, если его стороны равны 2 и 4, а один из углов равен 150° Желательно с чертежом ​

Answer 1

Ответ: 4

Объяснение:S=absinальфа

S=2×4×1/2=4

Answer 2

Calculating the Area of a Parallelogram

To calculate the area of a parallelogram, you need to know two sides and one angle. According to the question, the sides are 2 units and 4 units in length, and one of the angles is 150 degrees.

[1] and [2] provide formulas for calculating the area of a parallelogram, but do not have specific values that match the question. [3] through [10] also do not have relevant information.

The formula for the area of a parallelogram is:

`Area = base * height`

Since one side is 2 units and the other is 4 units, we can say the base is 2 units. To find the height, we use the following formula:

`height = base * tan(angle)`

Plugging in the known values:

`height = 2 * tan(150 degrees)`

`height = 2 * 2.73`

`height = 5.46`

Therefore, the area is:

`Area = base * height`

`Area = 2 * 5.46`

`Area = 10.92 square units`

The area of the parallelogram is 10.92 square units.