Answer:
EF=6
Step-by-step explanation:
The complete question is shown in the attachment.
Triangle AEF is similar to triangle ABC.
This means that, the corresponding sides are proportional.
[tex]\frac{EF}{BC}=\frac{EB}{AB}[/tex]
From the diagram, EB=16-8=8
AB=16
AE=8
BC=12
We substitute the values into the formula to get:
[tex]\frac{EF}{12}=\frac{8}{16}[/tex]
Multiply both sides by 12 to get:
[tex]12*\frac{EF}{12}=\frac{8}{16} *12[/tex]
[tex]EF=\frac{1}{2}*12=6[/tex]
Therefore EF is 6 units
