Question

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

Answer 1

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,

$AM=MB$

Thus the M is the midpoint of the line segment AB.

In the given figure,

$BN=NC$

Thus the N is the midpoint of the line segment BC.

Midline theorem

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,

$MN=\dfrac{1}{2} \times AC$

Put the values ,

$MN=\dfrac{1}{2} \times 116$

$MN=58$

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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