Question

Стороны параллелограмма равны 10 см и 12 см , а один из углов равен 150 градусам. Найдите площадь параллелограмма.

Answer 1

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Answer 2

Calculating the Area of a Parallelogram

To find the area of a parallelogram, we can use the formula: Area = base * height. In this case, the base and height of the parallelogram can be determined using the given side lengths and angle.

Given: - The sides of the parallelogram are 10 cm and 12 cm. - One of the angles is 150 degrees.

Solution

Using the given information, we can calculate the area of the parallelogram.

First, we need to find the height of the parallelogram. The height can be calculated using the formula: height = side * sin(angle).

Using the given angle of 150 degrees and the side length of 10 cm: height = 10 * sin(150°)

Next, we can calculate the area using the formula: Area = base * height.

Let's calculate the height and then the area of the parallelogram.

Calculation

1. Calculate the height: - height = 10 * sin(150°)

2. Calculate the area: - Area = 12 * height

Result

After performing the calculations, the area of the parallelogram is found to be 30 square centimeters.

This calculation is based on the trigonometric properties of parallelograms and the given side lengths and angle