Answer:
AE = 12
Step-by-step explanation:
[tex]\triangle DAE \sim\triangle BAC.... (given) \\
\therefore \frac{AD}{AB} = \frac{AE}{AC}.. (csst) \\\\
\therefore \frac{6}{6+4} = \frac{x}{x+8} \\\\
\therefore \frac{6}{10} = \frac{x}{x+8} \\\\
\therefore \frac{3}{5} = \frac{x}{x+8} \\\\
\therefore 3(x+8) = 5x\\\\
3x + 24 = 5x \\\\
24= 5x - 3x \\\\
24= 2x \\ \\ x = \frac{24}{2} \\ \\ x = 12 \\ \\
\because \: AE = x \\ \\ \huge \red{ \boxed{\therefore \: \: AE = 12}}[/tex]
