Question

Периметр равнобедренной трапеции равен 24. Найдите длину ее средней линии если блина боковой стороны равна 4,5

Answer 1

Средняя линия это 0.5(суммы оснований), 
Боковые рёбра одинаковы, их сумма =9 тогда сумма оснований находиться 24(Pвсей фигуры)-9=15(это сумма оснований)
средняя линия равна 15/2=7.5

Answer 2

Perimeter of an Isosceles Trapezoid

To find the length of the median of an isosceles trapezoid, we first need to understand the properties of an isosceles trapezoid.

An isosceles trapezoid is a quadrilateral with two parallel sides of different lengths and two non-parallel sides of equal length. The median of an isosceles trapezoid is the line segment that connects the midpoints of the non-parallel sides.

Let's denote the lengths of the parallel sides as a and b, and the length of the median as m.

The perimeter of an isosceles trapezoid is given by the sum of the lengths of all its sides. In this case, we are given that the perimeter is equal to 24.

Finding the Length of the Median

To find the length of the median, we need to use the given information that the length of one of the non-parallel sides is 4.5.

Let's denote the length of the non-parallel side as c.

The perimeter of the isosceles trapezoid can be expressed as:

Perimeter = a + b + c + c = 2c + a + b

Given that the perimeter is 24, we can write the equation:

2c + a + b = 24

Substituting the value of c as 4.5, we have:

2(4.5) + a + b = 24

Simplifying the equation, we get:

9 + a + b = 24

Now, we need to find the value of a + b to determine the length of the median.

Unfortunately, the given information does not provide the values of a and b directly. Therefore, we cannot determine the exact length of the median without additional information.

If you have any additional information or if there is anything else I can help you with, please let me know!