Midline theorem states that the cuts along the midline of a triangle creates a segment that is parallel to the base and half of the base.. The length of the line segment MN is 58 cm. Thus the option A is the correct option.
Given information-
The figure for the given problem is attached below.
In the given figure,
[tex]AM=MB[/tex]
Thus the M is the midpoint of the line segment AB.
In the given figure,
[tex]BN=NC[/tex]
Thus the N is the midpoint of the line segment BC.
Midline theorem states that the cuts along the midline of a triangle creates a segment that is parallel to the base and half of the base.
Thus the length of the line segment MN can be given as,
[tex]MN=\dfrac{1}{2} \times AC\\ [/tex]
Put the values ,
[tex]MN=\dfrac{1}{2} \times 116\\[/tex]
[tex]MN=58[/tex]
Thus the length of the line segment MN is 58 cm. Thus the option A is the correct option.
Learn more about the midline theorem here;
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