Chapter 5: Q30 (page 194)

For the following figure, given that $A B C D$ is a trapezoid with median $\bar{M N}$ .
If $D C = 6, A B = 16$ then find $M E, F N, E F$ .

Short Answer

Expert verified

The values are $M E = 3, F N = 3, E F = 5$ .

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Step description.

Since $M N$ is a median therefore

$\begin{array}{l} M E = \frac{1}{2} D C \\ M E = \frac{1}{2} \times 6 \\ M E = 3 \\ F N = \frac{1}{2} D C \\ F N = \frac{1}{2} \times 6 \\ F N = 3 \end{array}$

Step 3. Step description.

As from the figure, $E F = \frac{1}{2} (A B - D C)$ .

Substitute the values in the formula as follows:

$\begin{array}{l} E F = \frac{1}{2} (A B - D C) \\ E F = \frac{1}{2} (16 - 6) \\ E F = 5 \end{array}$

Therefore, the values are $M E = 3, F N = 3, E F = 5$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

For the following figure, given that $A B C D$ is a trapezoid with median $\bar{M N}$ .
If $D C = 6, A B = 16$ then find $M E, F N, E F$ .

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

For the following figure, given that ABCDis a trapezoid with median MN¯.If DC=6,AB=16then find ME,FN,EF.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Step description.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

Discrete Mathematics

Applied Mathematics

Statistics

Geometry

Study anywhere. Anytime. Across all devices.

For the following figure, given that $A B C D$ is a trapezoid with median $\bar{M N}$ .
If $D C = 6, A B = 16$ then find $M E, F N, E F$ .