B. 14 centimeters
Explanation
let's rememeber that the midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle.
This segment has two special properties.
It is always parallel to the third side, and the length of the midsegment is half the length of the third side.
so
Step 1
a)let
[tex]\begin{gathered} length\text{ of midsegment=LM} \\ length\text{ of third side=AC=28} \end{gathered}[/tex]
hence, as the length of the midsegment is half the length of the third side.
[tex]\begin{gathered} LM=\frac{AC}{2} \\ replace \\ LM=\frac{28}{2} \\ LM=14 \end{gathered}[/tex]
therefore, the answer is
B. 14 centimeters
I hope this helps you
