Answer:
DF) = 10
AB) = 5
EF) = 12.5
Explanation:
For length AB
-> 9+16=
-> 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:
![DE^(2) +DF^(2) =EF^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/9vk8b4uf8phnr3ktz6mpght11fddgw03qd.png)
![7.5^(2)+ 10^(2) =12.5](https://img.qammunity.org/2022/formulas/mathematics/high-school/muxbxp6u1tb17wmrwr06djymedixd1tqy1.png)