Median of a Trapezoid

Median of a Trapezoid

How to solve the median of a trapezoid problems: properties, example, and its solution.

Definition

The median of a trapezoid is a line segment whose endpoints are the midpoints of the legs.

The median of a trapezoid is a line segment
whose endpoints are the midpoints of the legs.

Properties

The median is parallel to the bases. And the length of the median is the mean of the bases' lengths.

The median of a trapezoid has two properties.

The median is parallel to the bases.

The length of the median
is the mean of the bases' lengths.

Example 1

Find the value of x. Bases: 3, 7. Median: x.

Median: x
Bases: 3, 7

x = (1/2)(3 + 7)

Example 2

Find the value of x. Bases: x, 12. Median: 9.

Median: 9
Bases: x, 12

9 = (1/2)(x + 12)