Chapter 5: Q. 10 (page 199)

In the following figure, a trapezoid $A B C D$ has median $\bar{M N}$ . If $F C = 9$ then find.EN

Short Answer

Expert verified

The measure of $E N = 4.5$ units.

Step by step solution

Step 1- Apply the concept of mid segment theorem.

The trapezoid midsegment theorem states that the length of the midsegment is equal to the sum of the base lengths divided by 2.

Also, the segment that joins the midpoints of two sides of a triangle is half as long as the third side.

Step 2- Check the figure.

Consider the figure.

Step 3- Step description.

Here $\bar{E N}$ is the median of $Δ B F C$ and $F C = 9$ .

Use the mid segment theorem and find the value of $E N$ as follows:

$\begin{array}{l} \bar{E N} = \frac{1}{2} \bar{F C} \\ \bar{E N} = \frac{1}{2} (9) \\ \bar{E N} = 4.5 \end{array}$

Therefore, the measure of $\bar{E N} = 4.5$ units.

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.

In the following figure, a trapezoid $A B C D$ has median $\bar{M N}$ . If $F C = 9$ then find.EN

Short Answer

Step by step solution

Step 1- Apply the concept of mid segment theorem.

Step 2- Check the figure.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Applied Mathematics

Calculus

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following figure, a trapezoidABCDhas medianMN¯. If FC=9then find.EN

Short Answer

Step by step solution

Step 1- Apply the concept of mid segment theorem.

Step 2- Check the figure.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Applied Mathematics

Calculus

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In the following figure, a trapezoid $A B C D$ has median $\bar{M N}$ . If $F C = 9$ then find.EN