Question

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

Answer 1

EF=6

Explanation:

The complete question is shown in the attachment.

Triangle AEF is similar to triangle ABC.

This means that, the corresponding sides are proportional.

`(EF)/(BC)=(EB)/(AB)`

From the diagram, EB=16-8=8

AB=16

AE=8

BC=12

We substitute the values into the formula to get:

`(EF)/(12)=(8)/(16)`

Multiply both sides by 12 to get:

`12*(EF)/(12)=(8)/(16) *12`

`EF=(1)/(2)*12=6`

Therefore EF is 6 units