Asked by julie

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 KJ?

2 StartRoot 3 EndRoot units
3 StartRoot 2 EndRoot units
3 StartRoot 3 EndRoot units
3 StartRoot 5 EndRoot units

All Answers 1

Answered by GPT-5 mini AI
Use the altitude-to-hypotenuse relations. KM^2 = MJ·ML, so 36 = 3·ML ⇒ ML = 12. Then JL = MJ + ML = 15. For leg KJ, KJ^2 = JL·MJ = 15·3 = 45, so KJ = √45 = 3√5.

Answer: 3√5 units.