Question

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

Answer 1

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

$\begin{gathered} \frac{23.1}{5}=\frac{17}{KL} \\ \end{gathered}$

then we can clear KL

$KL=\frac{17}{23.1}\cdot5=3.67=3.7$