Question

В прямоугольной трапеции основания равны 6 см и 10 см, а боковая сторона 5 см.Чему равна площадь трапеции?

Answer 1

Вот решение вашей задачи.........

Answer 2

Calculation of the Trapezoid's Area

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

Area = (a + b) * h / 2

where: - a and b are the lengths of the bases of the trapezoid, - h is the height of the trapezoid.

In this case, the trapezoid has bases of lengths 6 cm and 10 cm, and a side length of 5 cm. We need to find the height of the trapezoid to calculate its area.

Let's calculate the height using the Pythagorean theorem:

h^2 = c^2 - (b - a)^2

where: - c is the length of the side of the trapezoid.

In this case, c is 5 cm, a is 6 cm, and b is 10 cm.

Substituting the values into the formula, we get:

h^2 = 5^2 - (10 - 6)^2

Simplifying the equation:

h^2 = 25 - 16

h^2 = 9

Taking the square root of both sides:

h = 3 cm

Now that we have the height, we can calculate the area of the trapezoid:

Area = (6 + 10) * 3 / 2

Area = 16 * 3 / 2

Area = 48 / 2

Area = 24 cm^2

Therefore, the area of the trapezoid is 24 square centimeters.