Question

If bc=12 ab= 16 and ae =8 find ef

Answer 1

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.

$\frac{EF}{BC}=\frac{EB}{AB}$

From the diagram, EB=16-8=8

AB=16

AE=8

BC=12

We substitute the values into the formula to get:

$\frac{EF}{12}=\frac{8}{16}$

Multiply both sides by 12 to get:

$12*\frac{EF}{12}=\frac{8}{16} *12$

$EF=\frac{1}{2}*12=6$

Therefore EF is 6 units