Answer:
[tex]AB=2x=18[/tex]
[tex]EF=2x+3=21[/tex]
[tex]CD=3x-3=24[/tex]
Step-by-step explanation:
Since EF is the median, this means
[tex]EF=\frac{1}{2} (AB+CD)[/tex]
[tex]2EF=AB+CD[/tex]
Substituting the expressions,
[tex]2(2x+3)=2x+3x-3[/tex]
[tex]4x+6=5x-3[/tex]
[tex]5x-4x=6+3[/tex]
[tex]x=9[/tex]
Therefore,
[tex]AB=2x=2(9)=18[/tex]
[tex]EF=2x+3=2(9)+3=21[/tex]
[tex]CD=3x-3=3(9)-3=24[/tex]
