Question

Identify the segment bisector of MN Then find MN.
????????? Helppp pleaseee

Answer 1

Given:

The figure.

To find:

The segment bisector of MN and value of MN.

Solution:

From the given figure it is clear that ray RP,i.e., $\overrightarrow {RP}$ is the segment bisector of MN because it divides segment MN in two equal parts.

Now,

$3\dfrac{5}{6}=\dfrac{3\times 6+5}{6}$

$3\dfrac{5}{6}=\dfrac{23}{6}$

Since, $\overrightarrow {RP}$ is the segment bisector of MN, therefore,

$MN=2\times \dfrac{23}{6}$

$MN=\dfrac{23}{3}$

$MN=7\dfrac{2}{3}$

Therefore, the length of MN is $7\dfrac{2}{3}$.