1 Answer

Cnherald · Answer 1 · 2023-01-11T14:53:22+0000

B. 14 centimeters

Step-by-step 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

$\begin{gathered} length\text{ of midsegment=LM} \\ length\text{ of third side=AC=28} \end{gathered}$

hence, as the length of the midsegment is half the length of the third side.

$\begin{gathered} LM=(AC)/(2) \\ replace \\ LM=(28)/(2) \\ LM=14 \end{gathered}$

therefore, the answer is

B. 14 centimeters

I hope this helps you

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