Given,
The triangle ABC is similar to triangle DEF.
Required
The value of x and y.
The similar triangle have equal ratio of the corresponding sides.
[tex]\begin{gathered} \frac{y}{7}=\frac{8}{5} \\ y=\frac{8\times7}{5} \\ y=\frac{56}{5} \\ y=11.2 \end{gathered}[/tex]
The value of y is 11.2 units.
[tex]\begin{gathered} \frac{14}{x}=\frac{8}{5} \\ x=\frac{14\times5}{8} \\ x=\frac{70}{8} \\ x=8.75\text{ units} \end{gathered}[/tex]
Hence, the value of x is 8.75 units and the value of y is 11.2 .
