The length of EF in the right triangle is √180. The correct option is A. √180
Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, the square of the longest side (hypotenuse) equals sum of squares of the other two sides.
In the given diagram, we can then write that
/DE/² = /DF/² + /EF/²
From the given information,
/DE/ = 18
/DF/ = 12
Putting the parameters into the equation, we get
18² = 12² + /EF/²
324 = 144 + /EF/²
/EF/² = 324 - 144
/EF/² = 180
/EF/ = √180
Hence, the length of EF in the right triangle is √180. The correct option is A. √180
Learn more on Pythagorean theorem here: https://brainly.com/question/917409
#SPJ1
