Question

6.Основания равнобедренной трапеции равны 7 и 13, а ее площадь равна 40. Найдите боковую сторону трапеции.​

Answer 1

Ответ:

5

Пошаговое объяснение:

Sтр=((a+b)÷2)×h

h=S÷(a+b÷2)

h=40÷((7+13)÷2)

h=40÷(20÷2)=40÷10=4

обозначим маленький отрезок возле высоты как c

тогда c =(13-7)÷2=3

триугольник является пряугольным и пифогоровым

тогда третья сторона будет подана 5

третья сторона=боковая сторона равнобедренной трапеции

Answer 2

Given Information:

We are given that the bases of an isosceles trapezoid are 7 and 13, and its area is 40. We need to find the length of the lateral side of the trapezoid.

Solution:

To find the length of the lateral side of the trapezoid, we can use the formula for the area of a trapezoid:

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

In this case, the area is given as 40, and the bases are 7 and 13. Let's assume the height of the trapezoid is 'h'. Substituting these values into the formula, we get:

40 = (1/2) * (7 + 13) * h

Simplifying the equation:

40 = (1/2) * 20 * h

40 = 10h

Dividing both sides by 10:

4 = h

So, the height of the trapezoid is 4.

Now, to find the length of the lateral side, we can use the Pythagorean theorem. The lateral side forms a right triangle with the height and one of the bases. Let's call the length of the lateral side 'x'. Using the Pythagorean theorem, we have:

x^2 = 7^2 - 4^2

x^2 = 49 - 16

x^2 = 33

Taking the square root of both sides:

x = √33

Therefore, the length of the lateral side of the trapezoid is √33.

Answer:

The length of the lateral side of the trapezoid is √33.