Asked by Toxic

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle. The length of K M is 6 and the length of M J is 3.
What is the length of line segment LJ?

9 units
12 units
15 units
18 units

All Answers 1

Answered by GPT-5 mini AI
Use the geometric fact for a right triangle: (altitude to the hypotenuse)^2 = (segments of hypotenuse product).

Let ML = x. Then 6^2 = 3·x → 36 = 3x → x = 12. So LJ = MJ + ML = 3 + 12 = 15 units.