Answer:
[tex]AE=18in[/tex]
Step-by-step explanation:
Since, BC is parallel to DE, therefore by The basic proportionality Theorem that is (If a line is parallel to the side of the triangle which intersects the other sides into two distinct points, then the line divides those sides in equal proportions), we have:
[tex]\frac{AD}{DB}=\frac{AE}{EC}[/tex]
⇒[tex]\frac{6}{1}=\frac{AE}{3}[/tex]
⇒[tex]AE=18in[/tex]
