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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 5: Q4 (page 192)

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

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

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.

03

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:

$\begin{matrix} median= \frac{6 + 16}{2} \\ = \frac{22}{2} \\ = 11 \end{matrix}$

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

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