Question

# 2 given that ABC DEF solve for x and y

Answer 1

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.

`\begin{gathered} (y)/(7)=(8)/(5) \\ y=(8*7)/(5) \\ y=(56)/(5) \\ y=11.2 \end{gathered}`

The value of y is 11.2 units.

`\begin{gathered} (14)/(x)=(8)/(5) \\ x=(14*5)/(8) \\ x=(70)/(8) \\ x=8.75\text{ units} \end{gathered}`

Hence, the value of x is 8.75 units and the value of y is 11.2 .