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l is the midpoint of jm. k is the midpoint of jl. kl = 6. what is the l…

Question

l is the midpoint of jm. k is the midpoint of jl. kl = 6. what is the length of jm?

Explanation:

Step1: Find the length of \( \overline{JL} \)

Since \( K \) is the mid - point of \( \overline{JL} \), by the definition of a mid - point \( JL = 2\times KL \). Given \( KL = 6 \), then \( JL=2\times6 = 12 \).

Step2: Find the length of \( \overline{JM} \)

Since \( L \) is the mid - point of \( \overline{JM} \), by the definition of a mid - point \( JM = 2\times JL \). Substituting \( JL = 12 \) into the formula, we get \( JM=2\times12=24 \).

Answer:

24