Question

боковые стороны трапеции равны 17 см и 19 см, а периметр 66 см. Определите среднюю линию трапеции.

Answer 1

Средняя линия равна полусумме оснований:

l=(66-(17+19))/2=(66-36)/2=30/2=15 см - средняя линия.

 

Ответ: 15 см.

Answer 2

Finding the Length of the Median of a Trapezoid

To find the length of the median of a trapezoid, we need to know the lengths of the two parallel sides (also known as the bases) and the perimeter of the trapezoid.

In this case, we are given that the lengths of the two parallel sides of the trapezoid are 17 cm and 19 cm, and the perimeter is 66 cm.

Let's denote the length of the median as 'm'.

To find the length of the median, we can use the following formula:

m = (a + b) / 2

Where 'a' and 'b' are the lengths of the two parallel sides (bases) of the trapezoid.

In this case, 'a' is 17 cm and 'b' is 19 cm.

Substituting the given values into the formula, we have:

m = (17 + 19) / 2

Simplifying the equation, we get:

m = 36 / 2

m = 18 cm

Therefore, the length of the median of the trapezoid is 18 cm.