Question

Стороны параллелограмма равна 8 и 10 угол между ними 60° найти S

Answer 1

Ответ:

40√3

Пошаговое объяснение:

Площадь параллелограмма равна произведению его сторон на синус угла между ними:

S=8 × 10 × sin60°=80×√3/2=40√3

Answer 2

Given Information

We are given that the sides of a parallelogram are 8 and 10, and the angle between them is 60°. We need to find the area of the parallelogram (S).

Solution

To find the area of a parallelogram, we can use the formula: S = |u × v|, where u and v are the adjacent sides of the parallelogram.

Let's find the vectors u and v using the given information.

The magnitude of vector u is 8, and the magnitude of vector v is 10. The angle between them is 60°.

Using the formula for the cross product of two vectors, we have:

|u × v| = |u| * |v| * sin(θ)

Substituting the given values:

|u × v| = 8 * 10 * sin(60°)

Calculating the value:

|u × v| = 8 * 10 * √3/2 = 40√3

Therefore, the area of the parallelogram is 40√3 square units.

Answer

The area of the parallelogram is 40√3 square units.