Question

Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your answer to the nearest tenth if necessary.

Answer 1

Given data:

The given triagles.

The expression for the ratio of corresponding sides of the similar triangle FGH and IJK is,

`\begin{gathered} (FH)/(HG)=(IK)/(KJ) \\ (31)/(43)=(IK)/(8) \\ IK=(248)/(43) \\ =5.8 \end{gathered}`

Thus, the length of IK is 5.8 units.