Question

Стороны параллелограмма 6см и 5см, а один из углов параллел. равен 150градусов. Найти площадь параллелограмма.

Answer 1

S=a*b*cosA

угол В=150градусов следовательно угол А=30градусов(при параллельных прямых и секущей)

cos30=1\2

S=5*6*1\2=15

Answer 2

решение............................

Answer 3

Given Information

The sides of the parallelogram are 6 cm and 5 cm, and one of the angles of the parallelogram is 150 degrees.

Solution

To find the area of the parallelogram, we can use the formula: Area = base * height. However, in this case, we need to find the height of the parallelogram.

Finding the Height

We can use the given angle and side lengths to find the height of the parallelogram using trigonometric functions.

Using the given angle of 150 degrees and the side lengths 6 cm and 5 cm, we can use the trigonometric formula: h = b * sin(θ), where h is the height, b is the base, and θ is the angle.

Substituting the values, we get: h = 5 * sin(150°)

Using the trigonometric identity sin(180° - θ) = sin(θ), we can rewrite the above equation as: h = 5 * sin(30°)

From the trigonometric identity sin(30°) = 1/2, we can calculate: h = 5 * (1/2) = 2.5 cm

Calculating the Area

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

Substituting the values, we get: Area = 6 cm * 2.5 cm = 15 square cm

Answer

The area of the parallelogram is 15 square cm.