Question

Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your

answer to the nearest tenth if necessary.
I
L
7
33
4
H
K
Answer:

Answer 1

JK = 18.8

Explanation:

7/33 = 4/JK

132 = 7JK

JK = 18.86

Answer 2

JK=18.8

Explanation:

so we are given that ΔGHI ~ ΔJKL

GI~JL (because corresponding parts of similar triangles are similar)

so GI/JL=ratio of similitude=7/33

GH~JK (corresponding parts of similar triangles are similar)

and GH/JK=ratio of similitude

so:

GH/JK=GI/JL

subsitute known values

4/JK=7/33

cross multiply

7JK=132

divide

JK=132/7

simplify and round

JK≈18.8

hope this helps!