Question

If $\Delta ABC\sim \Delta DEF$ and $AB=12,BC=8,AC=15,DE=18$, then find EF

Answer 1

Given, $\Delta ABC\sim \Delta DEF$
Thus, $\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$
AB=12,BC=8,AC=15,DE=18
$\frac{AB}{DE}=\frac{BC}{EF}$
$\frac{12}{18}=\frac{8}{EF}$
$EF=\frac{8\times 18}{12}$
$EF=12$
$\frac{AB}{DE}=\frac{AC}{DF}$
$\frac{12}{18}=\frac{15}{EF}$
$EF=\frac{15\times 18}{12}$
$EF=22.5$