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Quadrilateral BCDE is similar to quadrilateral FGHI. Find the measure of side GH.
Round your answer to the nearest tenth if necessary.

Sagot :

MrRoyal

The question illustrates equivalent ratios, because both quadrilaterals are similar.

The length of GH is 35.1 units

From the question (see attachment), the corresponding sides are:

  • CD and GH
  • DE and HI

So, we have:

[tex]\mathbf{CD : DE = GH : HI}[/tex]

The side lengths are:

[tex]\mathbf{HI = 51}[/tex]

[tex]\mathbf{CD = 11}[/tex]

[tex]\mathbf{DE = 16}[/tex]

So, we have:

[tex]\mathbf{11 : 16 = GH : 51}[/tex]

Express as fractions

[tex]\mathbf{\frac{11 }{ 16} = \frac{GH }{ 51}}[/tex]

Make GH the subject

[tex]\mathbf{GH =51 \times \frac{11 }{ 16}}[/tex]

[tex]\mathbf{GH =35.1}[/tex]

Hence, the length of GH is 35.1 units

Read more about similar shapes at:

https://brainly.com/question/20536565

View image MrRoyal
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