Answer :
Given data:
The given triagles.
The expression for the ratio of corresponding sides of the similar triangle FGH and IJK is,
[tex]\begin{gathered} \frac{FH}{HG}=\frac{IK}{KJ} \\ \frac{31}{43}=\frac{IK}{8} \\ IK=\frac{248}{43} \\ =5.8 \end{gathered}[/tex]Thus, the length of IK is 5.8 units.