Answer:
NL=10 units.
Step-by-step explanation:
Given information: K is between J and M. L is between K and M. M is between K and N. If JN = 14, KM = 4, and JK = KL = LM.
L is between K and M.
[tex]KM=KL+LM[/tex]
[tex]4=KL+LM[/tex] ( KM = 4)
[tex]4=KL+KL[/tex] (KL = LM)
[tex]4=2KL[/tex]
[tex]2=KL[/tex]
The length of KL is 2 units.
K is between J and M.
[tex]JM=JK+KM[/tex]
[tex]JM=KL+KM[/tex] (JK = KL)
[tex]JM=2+4[/tex] (KL=2, KM=4)
[tex]JM=6[/tex]
The length of JM is 6 units.
From the figure it is clear that
[tex]MN=JN-JM[/tex]
[tex]MN=14-6[/tex]
[tex]MN=8[/tex]
From the figure it is clear that
[tex]NL=LM+MN[/tex]
[tex]NL=2+8[/tex]
[tex]NL=10[/tex]
Therefore, the length of NL is 10 units.
