Question

△abc is similar to △dec. find the length of x. the length of side x is □ m.

Explanation:

Step1: Set up proportion

Since $\triangle ABC\sim\triangle DEC$, the ratios of corresponding sides are equal. So, $\frac{AB}{DE}=\frac{BC}{EC}$. Here, $AB = 5.1$ m, $DE = 1.7$ m, $BC=x$ m and $EC = 2.1$ m. The proportion is $\frac{5.1}{1.7}=\frac{x}{2.1}$.

Step2: Solve for x

Cross - multiply: $1.7x=5.1\times2.1$. Then $1.7x = 10.71$. Divide both sides by 1.7: $x=\frac{10.71}{1.7}=6.3$.

Answer:

$6.3$