Question

Снежные стороны параллелограмма равны 32 см и 26 см а один из его углов равен 150 градусов найдите площадь параллелограмма

Answer 1

Синус угла умножить на произведение сторон (синус150=синус30=1/2)

26 на 16

Answer 2

Finding the Area of a Parallelogram

To find the area of a parallelogram, we need to know the lengths of its sides and the measure of one of its angles. In this case, we are given that the lengths of the sides of the parallelogram are 32 cm and 26 cm, and one of its angles is 150 degrees.

To calculate the area of the parallelogram, we can use the formula:

Area = base × height

In a parallelogram, the base is one of the sides, and the height is the perpendicular distance between the base and the opposite side.

To find the height, we can use the formula:

Height = base × sin(angle)

Let's calculate the area step by step.

1. Find the height: - Base = 32 cm - Angle = 150 degrees

Using the formula for the height, we can calculate:

Height = 32 cm × sin(150 degrees)

To find the value of sin(150 degrees), we can use a trigonometric identity:

sin(150 degrees) = sin(180 degrees - 150 degrees) = sin(30 degrees)

Now we can calculate the height:

Height = 32 cm × sin(30 degrees)

According to the trigonometric values, sin(30 degrees) is equal to 0.5. Therefore:

Height = 32 cm × 0.5 = 16 cm

2. Calculate the area: - Base = 32 cm - Height = 16 cm

Using the formula for the area, we can calculate:

Area = 32 cm × 16 cm = 512 cm²

Therefore, the area of the parallelogram is 512 cm².

Please note that the calculations provided are based on the given information and assumptions. If there are any additional details or constraints, the solution may vary.