Respuesta :

Answer:

DF) = 10

AB) = 5

EF) = 12.5

Step-by-step explanation:

For length AB

[tex]3^{2} +4^{2} = AB^{2}[/tex]   -> 9+16=[tex]\sqrt{25}[/tex] -> 5

For length DF

We know that AD is 2.5 times smaller than DE (7.5 / 3)

Now we can use that to determine length DF

BD = 4, DF = 4*2.5 = 10

using the Pythagorean theorem, you can find EF:

[tex]DE^{2} +DF^{2} =EF^{2}[/tex]

[tex]7.5^{2}+ 10^{2} =12.5[/tex]