Question

What is the length of MN? 58 cm 75 cm 88 cm 116 cm

Answer 1

Answer:

The length of MN is 58 cm.

Step-by-step explanation:

In the given figure we can see that  AM = MB

So, M is the mid point of AB.

Also, BN = NC ( Consider the given figure )

So, N is the mid point of BC.

Since M and N are the midpoints of AB and BC .

So, by mid segment theorem which sates that the segment joining the midpoints of any two sides of a triangle will be parallel to the third side of the triangle and half its length.

⇒ MN is parallel to AC

and  

$MN = \frac{1}{2} AC$

$MN = \frac{1}{2} (116)$

$MN = 58 cm$

Thus , the length of MN is 58 cm.

Answer 2

Answer:

The length of MN is 58 cm.

Step-by-step explanation:

Given the figure in which

AM=MB, CN=NB

So, M and N are the mid point of AB and BC

∴ By mid point theorem which states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side of the triangle and half the length of third side.

⇒ MN is parallel to AC and also half of third side i.e AC

$MN=\frac{1}{2}AC=\frac{1}{2}\times 116=58 cm$

Hence, the length of MN is 58 cm.

Thus , the length of MN is 58 cm.