Answer: LJ = 15 units
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
Explanation:
See attached image for more information about the question.
Given;
JM = 3
KM = 6
Using Pythagoras theorem, we can solve for JK
JK^2 = JM^2 + KM^2
JK^2 = 3^2 + 6^2
JK = √(9+36)
JK = √45 = 3√5
Secondly, let x represent angle KJM
cosine = adjacent/hypothenus
cosx = JM/JK = JK/JL
JM/JK = JK/JL
Substituting the values
3/3√5 = 3√5/JL
JL = 3√5 × 3√5/3
JL = 3√5 × √5
JL = 15
JL = LJ = 15 units