Question

Find the length of the median of a trapezoid if the length

ofthe shorter base is 16cm and the length of the longer base
is24cm.

Answer 1

20 cm

Explanation:

We are given a trapezoid, where the length of shorter base or on of the parllel line is 16 cm and the length of other parallel side is 24 cm.

Let the two parallel sides be x and y that is x = 16 cm and y = 24 cm.

A median of a trapezoid is a line segment that divides the non parallel sides of a trapezoid equally or a line segment that passes through the mid points of non-parallel sides of a trapezoid.

The length of median of a trapezoid =
`\frac{\text{Sum of parallel sides}}{2}` =
`(16+24)/(2)` = 20 cm.

Thus, the length of median of trapezoid is 20 cm.