For 2 similar triangles ABC and DEF, the scale factor of ABC to DEF is 2:3. If AB=2(BC) and DE=3(BC), what is EF?

Answer 1

I assume that you have listed the two triangles in matching vertices, that is, A <--> D , etc

let AB = 2x
then DE = 3x , must be in the ratio of 2:3

if AB = 2BC
2x = 2BC
BC = x

given: DE = 3BC
DE = 3x , (we already knew that)

then EF = 6x

Answer 2

Oh so we add 3X And the 3X to get 6X for EF ?