Answer:
[tex]\sqrt{217}units[/tex]
Step-by-step explanation:
Given : A right angled triangle EFD
Hypotenuse = ED=19 units
Base = DF =12 units
Perpendicular = EF
Solution:
To find length of EF we will use Pythagorean Theorem:
[tex](Hypotenuse)^{2}=(Perpendicular)^{2}+(Base)^{2}[/tex]
[tex]ED^{2}=EF^{2}+DF^{2}[/tex]
[tex]19^{2}=EF^{2}+12^{2}[/tex]
[tex]361=EF^{2}+144[/tex]
[tex]361-144=EF^{2}[/tex]
[tex]217=EF^{2}[/tex]
[tex]\sqrt{217} =EF[/tex]
Thus the length of EF is [tex]\sqrt{217}units[/tex]
