Question

are these shapes similar? no yes

Explanation:

Step1: Calculate the ratios of corresponding sides

For triangle \( \triangle FGE\) with sides \(10\mathrm{km}\), \(8\mathrm{km}\), \(14\mathrm{km}\) and triangle \( \triangle VXW\) with sides \(12\mathrm{km}\), \(15\mathrm{km}\), \(21\mathrm{km}\)
\(\frac{10}{12}=\frac{5}{6}\), \(\frac{8}{15}\), \(\frac{14}{21}=\frac{2}{3}\)

Step2: Check if ratios are equal

Since \(\frac{5}{6}
eq\frac{8}{15}
eq\frac{2}{3}\), the sides are not in proportion.

Answer:

no