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

F 24

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

10^2 + EF^2 = 26^2

100 + EF^2 = 676

Subtract 100 from each side

100-100 + EF^2 = 676-100

EF^2 = 576

Take the square root of each side

sqrt(EF^2) = sqrt(576)

EF = 24

F 24

Step-by-step explanation:

You have to use the Pythagorean Theorem

a²+b²=c²

(a and b are the legs of the triangle and c is always the hypotenuse)

a²+10²=26²

a²+100=676; now isolate the a² by subtracting 100 from both sides.

a²=576; now square root each side (gets rid of the squared)

a=24