Question

Основания трапеции равны 3и6.найдите больший из отрезков ,на которое делит среднюю линию этой трапеции одна из ее диагоналей

Answer 1

Диагональ делит трапецию на два треугольника,а среднюю линию на два отрезка,каждый из отрезков-это средняя линяя своео треугольника
отрезок номер 1-3/2=1.5
отрезок номер 2-6/2=3
3>1.5
ответ 3

Answer 2

Finding the Longer Segment Divided by the Median Line of a Trapezoid

To find the longer segment divided by the median line of a trapezoid when the bases are 3 and 6, we can use the formula for the median of a trapezoid, which is given by:

Median = (a + b) / 2

Where: - a and b are the lengths of the bases of the trapezoid.

In this case, the bases are 3 and 6, so we can calculate the median as follows:

Median = (3 + 6) / 2 Median = 9 / 2 Median = 4.5

Now, we need to find the longer segment that the median line divides. To do this, we can use the fact that the median of a trapezoid is parallel to the bases and its length is the average of the lengths of the bases.

Since the median divides the trapezoid into two equal areas, the longer segment will be the one that is divided by the median line and is closer to the longer base of the trapezoid.

Therefore, the longer segment divided by the median line of this trapezoid is 3.