If ∆ABC is similar to ADEF, and AB=16, DF =3, and AC =12, what is the length of DE?
2.25
4
07
64
We can set up a proportion between the corresponding sides of the similar triangles:
AB/DF = AC/DE
Plugging in the given values:
16/3 = 12/DE
Cross multiplying:
16DE = 36
Dividing both sides by 16:
DE = 36/16 = 2.25
So, the length of DE is 2.25.