Question

Find the value of x and y

Answer 1

Step-by-step explanation:

$\triangle ABC \sim\triangle DEF..(Given) \\ \therefore \frac{AB}{DE} =\frac{BC}{EF}=\frac{AC}{DF}..(CSST)\\\\\therefore \frac{6}{4} =\frac{7}{x}=\frac{8}{y}\\\\ \therefore \frac{6}{4} =\frac{7}{x} \\ \therefore \: x = \frac{7 \times 4}{6} \\ \\\therefore \: x = \frac{28}{6} = \frac{14}{3} \\ \\ \huge \red{ \boxed{ \therefore \: x = \frac{14}{3} }} \\ \\ \because \: \frac{6}{4} =\frac{8}{y} \\ \\ \therefore \:y = \frac{4 \times 8}{6} \\ \\ \therefore \:y = \frac{32}{6} \\ \\ \huge \purple{ \boxed{ \therefore \:y = \frac{16}{3} }}$