Question

What is the length of EF in the right triangle below?

Answer 1

Answer:

\sqrt(217)

Step-by-step explanation:

(19)^2=(12)^2

361 - 144 + 217

\sqrt(217)

Answer 2

Answer:

$\sqrt{217}units$

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:

$(Hypotenuse)^{2}=(Perpendicular)^{2}+(Base)^{2}$

$ED^{2}=EF^{2}+DF^{2}$

$19^{2}=EF^{2}+12^{2}$

$361=EF^{2}+144$

$361-144=EF^{2}$

$217=EF^{2}$

$\sqrt{217} =EF$

Thus the length of EF is $\sqrt{217}units$