# 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.

## Properties

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

Median: *x*

Bases: 3, 7*x* = (1/2)(3 + 7)

## Example 2

Median: 9

Bases: *x*, 12

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