We are given
In triangle ABC:
AB=24
BC=22
CA=18
In triangle HKG:
HK=12
KG=11
GH=9
now, we can find ratios
[tex] \frac{AB}{HK}= \frac{BC}{KG}=\frac{CA}{GH} [/tex]
[tex] \frac{24}{12}=\frac{22}{11}=\frac{18}{9} [/tex]
now, we can simplify it
[tex] 2=2=2 [/tex]
we can see that ratios of all sides are equal
we can use SSS method
so, both triangles are similar by SSS
Hence ,
Triangle ABC ~ Triangle HKG by SSS ~ ..........Answer
