Question

Стороны параллелограмма равны 3 см и 4 см , угол между ними равен 60 градусов.Найдите высоты параллелограмма

Answer 1

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Answer 2

Finding the Height of a Parallelogram

To find the height of a parallelogram, we can use the formula:

Height = (Area of the Parallelogram) / (Base Length)

However, since the area of the parallelogram is not given, we need to find it first.

Finding the Area of the Parallelogram

The area of a parallelogram can be calculated using the formula:

Area = (Base Length) * (Height)

In this case, the base length is given as 3 cm, and the angle between the sides is given as 60 degrees. To find the height, we need to calculate the area of the parallelogram.

Calculating the Area of the Parallelogram

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

Area = (Base Length) * (Height)

Given that the base length is 3 cm, we need to find the height. Let's denote the height as 'h'.

Using trigonometry, we can find the height 'h' by using the formula:

h = (Base Length) * sin(angle)

In this case, the angle is given as 60 degrees. Let's calculate the height:

h = 3 cm * sin(60 degrees)

Using a calculator, we find that:

h ≈ 2.598 cm

Now that we have the height, we can calculate the area of the parallelogram.

Area = (Base Length) * (Height) = 3 cm * 2.598 cm ≈ 7.794 cm²

Conclusion

The height of the parallelogram is approximately 2.598 cm, and the area of the parallelogram is approximately 7.794 cm².