Question

Sailor SheftalSimilar Figures / Proportion (Level 1)Aug 02, 10:17:02 AM?Triangle EFG is similar to triangle HIJ. Find the measure of side HI. Round youranswer to the nearest tenth if necessary.G94425Submit AnswerAnswer:attempt 1 out of 2

Answer 1

If we have two similar triangles, that ratio of the corresponding sides are all the same. This means that:

`(GF)/(JI)=(EF)/(HI)`

Substituting the lengths, we get:

`\begin{gathered} (44)/(9)=(25)/(HI) \\ HI=25\cdot(9)/(44)=5.1136\ldots\approx5.1 \end{gathered}`