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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 \(JL\)

Since \(K\) is the mid - point of \(JL\), by the definition of a mid - point (\(JK = KL\)). Given \(KL = 6\), then \(JL=JK + KL\). Substituting \(JK = KL = 6\), we get \(JL=6 + 6=12\).

Step2: Find the length of \(JM\)

Since \(L\) is the mid - point of \(JM\), by the definition of a mid - point (\(JL = LM\)). Then \(JM=JL + LM\). Substituting \(JL = LM = 12\), we get \(JM=12+12 = 24\).

Answer:

24