Question

Find the perimeter of DEF round your answer to the nearest tenth if necessary . Figures are not necessarily drawn to scale

Answer 1

Given from the image:

$ABC\approx DEF$

Given:

$\begin{gathered} AB=54,BC=70 \\ DE=x,EF=35 \end{gathered}$

Using the ratio of similar figures to find DE

$\frac{AB}{BC}=\frac{DE}{EF}$

Therefore,

$\begin{gathered} \frac{54}{70}=\frac{x}{35} \\ x=\frac{54\times35}{70}=27 \end{gathered}$

Hence, x= DE = 27.

Therefore, the perimeter of the triangle DEF is

$35+34+27=96$

Hence, the answer to the perimeter of the triangle DEF is 96.