Question

Смежные стороны параллелограмма, равная 8 см и 16 см, а его острый угол равен 30 градусов. Найдите площадь параллелограмма

Answer 1

Напротив угла в 30 градусов, лежит катет в два раза меньше гипотенузы, т.е. 8/2=4-высота P=a*h=16*4=64см^2

Answer 2

Finding the Area of a Parallelogram

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

Calculating the Height of the Parallelogram

The given information includes the adjacent sides of the parallelogram and the measure of one of its acute angles. We can use this information to calculate the height of the parallelogram.

Using the given adjacent sides: - Side 1 = 8 cm - Side 2 = 16 cm

And the given acute angle: - Angle = 30 degrees

We can calculate the height of the parallelogram using the formula: height = side * sin(angle).

Calculating the Area of the Parallelogram

Now that we have the height, we can use the formula for the area of a parallelogram: Area = base * height.

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