If K is the midpoint of JL, then the segment that goes from J to K (JK) is equal in length to the the segment that goes from K to L (KL).
Then, we can write:
[tex]\begin{gathered} JK=KL \\ 6x=3x+3 \\ 6x-3x=3 \\ 3x=3 \\ x=\frac{3}{3} \\ x=1 \end{gathered}[/tex]
With the value of x we can find the values of the segments:
[tex]\begin{gathered} JK=6x=6\cdot1=6 \\ KL=3x+3=3\cdot1+3=3+3=6\text{ (we already know that JK=KL)} \\ JL=JK+KL=2\cdot JK=2\cdot6=12\text{ (two times the half segment JK)} \end{gathered}[/tex]
Answer:
JK = 6
KL = 6
JL = 12
