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