From the given figure, the following was observed:
a.) Distance from A to D and D to C is equal.
b.) Distance from B to E and E to C is equal.
Therefore, we can conclude that DE is a midsegment.
The midsegment of a triangle is half the measurement of the base.
[tex]\text{ Midsegment = }\frac{1}{2}\text{ x Triangle Base}[/tex]
We get,
[tex]\text{ Midsegment = }\frac{1}{2}\text{ x 48 = }\frac{48}{2}[/tex][tex]\text{ Midsegment = 24 cm}[/tex]
The midsegment is 24 cm.
The answer is CHOICE B.
