Question

δabc ~ δdef
x = ?

Explanation:

Step1: Set up proportion

Since $\triangle ABC\sim\triangle DEF$, the ratios of corresponding - sides are equal. So, $\frac{AB}{DE}=\frac{BC}{EF}$. Substituting the given values, we have $\frac{x}{3}=\frac{8}{6}$.

Step2: Solve for x

Cross - multiply the proportion $\frac{x}{3}=\frac{8}{6}$ to get $6x = 3\times8$. Then $6x=24$. Divide both sides by 6: $x=\frac{24}{6}$.

Answer:

$4$