What is the length of line segment KJ?

2 \sqrt{3} units

3 \sqrt{2} units

3 \sqrt{3} units

3 \sqrt{5} units

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

Now we will take positive square root on both sides:

Therefore, the length of line segment KJ is and option D is the correct choice.