Question

△abc ~ △def. find the value of x. a 5 m b 4 m c d 15 m e x m f 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 get $\frac{5}{15}=\frac{4}{x}$.

Step2: Cross - multiply

Cross - multiplying gives us $5x = 4\times15$.

Step3: Solve for x

$5x=60$, then $x=\frac{60}{5}=12$.

Answer:

$12$