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What is the perimeter of AEB?


16.4 ft

18.5 ft

18.7 ft

22.9 ft

What is the perimeter of AEB 16 4 ft 18 5 ft 18 7 ft 22 9 ft

Answer :

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 ABâ•‘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.

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Rewritten by : Jeany