Answer:
Measure of segment JL is 20 cm.
Step-by-step explanation:
By applying geometric mean theorem in the given right triangle,
[tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]
[tex](KM)^2=(LM)(ML)[/tex]
[tex]8^2=(JM)(4)[/tex]
[tex]JM=\frac{64}{4}[/tex]
[tex]JM=16[/tex]
Since, [tex]JL=JM+ML[/tex] [By segment addition postulate]
[tex]JL=16+4[/tex]
[tex]JL=20[/tex] cm
Therefore, measure of segment JL is 20 cm.
