Answer:
[tex]MN=58\ cm[/tex]
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
[tex]MN=\frac{1}{2}AC[/tex]
we have that
[tex]AC=116\ cm[/tex] ---> given problem
substitute
[tex]MN=\frac{1}{2}(116)[/tex]
[tex]MN=58\ cm[/tex]
