Question

Triangle BCD is similar to triangle EFG. Find the measure of side EF. Round your answer to the nearest tenth. Figures are not drawn to scale. E G D9 X 43 19 F B

Answer 1

The ratio of the corresponding sides of two similar triangles is equal. Since traingles BCD and EFG are similar, we can write

$\begin{gathered} \frac{BC}{EF}=\frac{CD}{FG} \\ \frac{19}{x}=\frac{9}{43} \\ x=19\times\frac{43}{9} \\ x=90.8 \end{gathered}$