Question

Периметр равносторонней трапеции равен 100 см, а ее центральная линия равна боковой стене. Найдите боковую стенку трапеции.​

Answer 1

Ответ:

АВ=25см

Объяснение:

EP- средняя линия трапеции

ЕР=СD=BA

Пусть CD будет х. тогда ЕР=х; BA=x.

Формула нахождения средней линии трапеции:

EP=(BC+AD)/2 отсюда

ВС+АD=2*EP

BC+AD=2x.

P(ABCD)=2*AB+2*EP

Уравнение.

2х+2х=100

4х=100

х=100/4

х=25см боковая сторона трапеции

Answer 2

Perimeter of an Equilateral Trapezoid

To find the length of the side of the trapezoid, we need to use the given information about the perimeter and the central line.

Let's denote the length of the side of the trapezoid as x.

The perimeter of a trapezoid is the sum of all its sides. In this case, we have an equilateral trapezoid, which means that all sides are equal in length.

The perimeter of the trapezoid is given as 100 cm. Since an equilateral trapezoid has two pairs of equal sides, we can express the perimeter as:

Perimeter = x + x + x + x = 4x

Therefore, we have the equation:

4x = 100

To find the value of x, we can solve this equation:

x = 100 / 4 = 25 cm

So, the length of each side of the trapezoid is 25 cm.