Question

What is the length of Line segment M N? 58 cm 75 cm 88 cm 116 cm

Answer 1

Answer:

58 cm

Step-by-step explanation:

116/2 = 58 cm

MN is half of the line AC.

Answer 2

Answer:

$MN=58\ cm$

Step-by-step 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

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

we have that

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

substitute

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

$MN=58\ cm$