Chapter 5: Q. 9 (page 199)

In the following figure, a trapezoid $A B C D$ has a median $\bar{M N}$ . If $D C = 42, M N = 35$ then find $A B$ .

Short Answer

Expert verified

The measure of $A B = 28$ units.

Step by step solution

Step 1- Apply the concept of midsegment theorem.

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

Step 2- Check the figure.

Consider the figure.

Step 3- Step description.

Here $M N$ is the median and $D C = 42, M N = 35$ .

Use the mid-segment theorem and find the value of $A B$ as follows:

$\begin{matrix} M N = \frac{A B + D C}{2} \\ 35 = \frac{A B + 42}{2} \\ A B + 42 = 70 \\ A B = 28 \end{matrix}$

Therefore, the measure of $A B = 28$ units.

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In the following figure, a trapezoid $A B C D$ has a median $\bar{M N}$ . If $D C = 42, M N = 35$ then find $A B$ .

Short Answer

Step by step solution

Step 1- Apply the concept of midsegment theorem.

Step 2- Check the figure.

Step 3- Step description.

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In the following figure, a trapezoidABCDhas a medianMN¯ . If DC=42,MN=35 then find AB.

Short Answer

Step by step solution

Step 1- Apply the concept of midsegment theorem.

Step 2- Check the figure.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

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In the following figure, a trapezoid $A B C D$ has a median $\bar{M N}$ . If $D C = 42, M N = 35$ then find $A B$ .