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l is the midpoint of $overline{jm}$. k is the midpoint of $overline{jl}…

Question

l is the midpoint of $overline{jm}$. k is the midpoint of $overline{jl}$. jl = 10. what is the length of $overline{km}$?

Explanation:

Step1: Find length of JM

Since L is the mid - point of JM and JL = 10, then JM=2×JL. So, JM = 2×10 = 20.

Step2: Find length of KL

Since K is the mid - point of JL and JL = 10, then KL=\frac{JL}{2}=\frac{10}{2}=5.

Step3: Find length of LM

Since L is the mid - point of JM, LM = JL = 10.

Step4: Calculate length of KM

KM=KL + LM. Substitute KL = 5 and LM = 10 into the formula, we get KM=5 + 10=15.

Answer:

15