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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

Sailor SheftalSimilar Figures Proportion Level 1Aug 02 101702 AMTriangle EFG Is Similar To Triangle HIJ Find The Measure Of Side HI Round Youranswer To The Near class=

Answer :

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

[tex]\frac{GF}{JI}=\frac{EF}{HI}[/tex]

Substituting the lengths, we get:

[tex]\begin{gathered} \frac{44}{9}=\frac{25}{HI} \\ HI=25\cdot\frac{9}{44}=5.1136\ldots\approx5.1 \end{gathered}[/tex]

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