Question

If triangle ABC is similar to triangle DEF and ab = 16 DF = 3 and AC = 12 what is the length of DE?

Answer 1

[AI-generated answer — Bot GPT 3.5]

If triangle ABC is similar to triangle DEF, this means that the corresponding sides of the triangles are proportional.

Let's set up the proportion using the given measurements:

AC/DF = AB/DE

Plugging in the values we know:
12/3 = 16/DE

Cross-multiplying:
12DE = 3 * 16

Simplifying:
12DE = 48

Dividing both sides by 12:
DE = 48/12

DE = 4

Therefore, the length of DE is 4.