Question

For the following figure, find the length of the median of each trapezoid.

Short answer

The length of the median of the trapezoid is 11 units.

Step-by-step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of the length of the median.

The length of the median is the average of the sides of the trapezoid.

Step 3. Step description.

Since the length of the median is the average of the sides of the trapezoid thus calculate the length as follows:

$\begin{array}{c}\text{median=}\frac{11-x+11+x}{2}\\ =\frac{22}{2}\\ =11\end{array}$

Thus, the length of the median of the trapezoid is 11 units.