Answer:
Hence, perimeter of ΔAEB is:
18.5 ft.
Step-by-step explanation:
The perimeter of ΔAEB is given as:
length of side AE+length of side BE+length of side AB.
As side AB║DF hence we will use Triangle Proportionality theorem to calculate the length of side AE.
Since,
[tex]\dfrac{AE}{AD}=\dfrac{EB}{BF}[/tex]
Hence, we have:
[tex]\dfrac{AE}{2}=\dfrac{7.8}{2.4}\\\\AE=\dfrac{7.8\times 2}{2.4}\\\\AE=6.5 ft.[/tex]
Hence, perimeter of ΔAEB is:
6.5+4.2+7.8=18.5 ft.
( since AE=6.5 ft
BE=7.8 ft
and AB=4.2 ft )
Hence, perimeter of ΔAEB is:
18.5 ft.
