Question

In the accompanying diagram, AABC ~ADEF, AB = 12, AC = 8, DE = x, and DF = 2. Find the value of x.

Answer 1

Using the similarity ratio for sides of the given triangles,

`\begin{gathered} (AB)/(DE)=(AC)/(DF) \\ (12)/(x)=(8)/(2) \\ x=(12)/(4) \\ x=3 \end{gathered}`