Question

What is the length of Line segment M N?

58 cm
75 cm
88 cm
116 cm

Answer 1

58 cm

Explanation:

116/2 = 58 cm

MN is half of the line AC.

Answer 2

`MN=58\ cm`

Explanation:

we know that

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

In this problem

M is the mid-point segment AB

N is the mid-point segment BC

so

Applying the Midpoint Theorem

MN is parallel to AC

`MN=(1)/(2)AC`

we have that

`AC=116\ cm` ---> given problem

substitute

`MN=(1)/(2)(116)`

`MN=58\ cm`