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

Sagot :

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.

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