JacobieG549893 JacobieG549893
  • 29-10-2022
  • Mathematics
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Triangle GHI is similar to triangle JKL. Find the measure of side KL. Round your answer to the nearest tenth. L 17 K 5 H 23.1

Triangle GHI is similar to triangle JKL Find the measure of side KL Round your answer to the nearest tenth L 17 K 5 H 231 class=

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DacenI191048 DacenI191048
  • 29-10-2022

IH=17

IG=23.1

GH=?

KL=?

LJ=5

JK=?

IH is similar to KL

LJ is similar to IG

GH is similar to JK

we can do the next relation of proportion

[tex]\begin{gathered} \frac{23.1}{5}=\frac{17}{KL} \\ \end{gathered}[/tex]

then we can clear KL

[tex]KL=\frac{17}{23.1}\cdot5=3.67=3.7[/tex]

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