What is the length of line segment lj?
9 units
12 units
15 units
18 units

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

Step-by-step explanation:

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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

15 units

Step-by-step explanation:

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