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

Question

asked May 11, 2023 151k views

1 Answer

Kumar V · Answer 1 · 2023-05-16T10:12:08+0000

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

$\begin{gathered} (23.1)/(5)=(17)/(KL) \\ \end{gathered}$

then we can clear KL

$KL=(17)/(23.1)\cdot5=3.67=3.7$