Question

If ABC ~ DEF what is the length of EF?
(Picture below.)

Answer 1

Would 18 be the answer?

Answer 2

no :)

Answer 3

I think you're thinking in the right direction, but you made a mistake.

Notice that triangle DEF is smaller than ABC... it would be unlikely that side EF would be longer than side BC.

Answer 4

The ratio of sides between the two triangles is the same for all three pairs of sides.

So like side AB = 6 and DE = 4, the ratio of AB to DE is 6/4.

So that's the same ratio as between side BC and side EF.
Side BC is 12, so the ratio of with side EF is 12/EF.... and that needs to equal 6/4.

Answer 5

Thank you so much! Sorry for the late response. In that case, would the answer be 8?

Answer 6

yes.

Answer 7

Thank you.

Answer 8

oops :) @marcoduuuh Sorry I didn't see you jumped back on this problem... good work though (and thanks to @hartnn for the confirmation)