The area of the trapezoid is 24. Find the distance between the bases of the trapezoid if its middle line is 8 cm.

A trapezoid is a quadrilateral in which only two sides are parallel and sides are of different lengths.

The distance between the bases of the trapezoid is its height. To calculate its length, it is most convenient to use the formula for the area of a trapezoid, which is equal to the product of the midline by the height:

S = m h, where:

m – middle line;

h – height.

To do this, you need to divide the area of the trapezoid by the length of its midline:

h = S / m;

h = 24/8 = 3 cm.

Answer: the distance between the bases of the trapezoid is 3 cm.