If ABC is Similar to DEF, and AB =16, DF =3, AC=12, what is length of DE?
In a similar triangle, the corresponding sides are proportional.
Let x be the length of DE.
Using the similarity of the triangles ABC and DEF, we can set up the proportion:
AB/DE = AC/DF
Substituting the given values:
16/x = 12/3
Cross-multiplying:
12x = 3 * 16
12x = 48
Dividing both sides by 12:
x = 48/12
x = 4
Therefore, the length of DE is 4.