Answer: KL = 5.3
Step-by-step explanation:
Set up the proportion, cross multiply, and solve for the missing side:
[tex]\frac{JL}{GL} = \frac{KL}{HL}[/tex]
[tex]\frac{4}{10} = \frac{KL}{8 + KL}[/tex]
4(8 + KL) = 10(KL)
32 + 4KL = 10KL
32 = 6KL
[tex]\frac{32}{6}=KL[/tex]
KL = 16/3 = 5.3
