Question

смежные стороны параллелограмма равны 12см и 14см, а его острый угол равен 30 градусов. найдите площадь параллелограмма.

Answer 1

S=absin30

S=12*14*0,5=84

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, we are given that the adjacent sides of the parallelogram are 12 cm and 14 cm, and one of its acute angles is 30 degrees.

To find the height of the parallelogram, we can use trigonometry. Since we know the length of one side (12 cm) and the measure of the acute angle (30 degrees), we can use the sine function to find the height.

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

Calculating the Height

Using the sine function, we can calculate the height of the parallelogram.

The formula for the height is: height = side × sin(angle).

Substituting the values we have, we get: height = 12 cm × sin(30 degrees).

Calculating this, we find: height = 12 cm × 0.5 = 6 cm.

Calculating the Area

Now that we have the base (14 cm) and the height (6 cm), we can calculate the area of the parallelogram using the formula: Area = base × height.

Substituting the values we have, we get: Area = 14 cm × 6 cm = 84 cm².

Therefore, the area of the parallelogram is 84 cm².

Please note that the accuracy of the answer may depend on the accuracy of the given values and calculations.

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