Question

Помогитее срочно. Боковая сторона трапеции 10 см, она образует с большим основанием угол в 30° основания равны 4 см и 22 см. найти s трапеции

Answer 1

Ответ: 65
Решение надо?

Answer 2

Высоту найдете из треугольника CHD

Answer 3

Calculation of the Area of a Trapezoid

To find the area of a trapezoid, we can use the formula:

Area = (1/2) * (sum of the lengths of the bases) * (height)

In this case, we are given the following information about the trapezoid: - One side of the trapezoid is 10 cm. - The larger base of the trapezoid forms an angle of 30° with the side. - The lengths of the bases are 4 cm and 22 cm.

To find the height of the trapezoid, we can use trigonometry. Since we know the length of one side and the angle it forms with the larger base, we can use the sine function to find the height.

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

Calculation Steps:

1. Calculate the height of the trapezoid using the sine function: - sin(30°) = height / 10 cm - height = 10 cm * sin(30°)

2. Calculate the area of the trapezoid using the formula: - Area = (1/2) * (4 cm + 22 cm) * height

Let's perform the calculations:

1. Calculate the height: - height = 10 cm * sin(30°) - height = 10 cm * 0.5 - height = 5 cm

2. Calculate the area: - Area = (1/2) * (4 cm + 22 cm) * 5 cm - Area = (1/2) * 26 cm * 5 cm - Area = 13 cm * 5 cm - Area = 65 cm²

Therefore, the area of the trapezoid is 65 cm².

Please note that the calculations provided above are based on the given information and assumptions. If there are any additional details or specific requirements, please let me know, and I'll be happy to assist you further.