Question

Which statement about the triangles below is true?

Triangle BCA ~ Triangle HKG by SSS ~
Triangle CAB ~ Triangle GHK by SAS ~
Triangle ABC ~ Triangle HKG by SSS ~
The triangles are not similar.

Answer 1

ITs the third option
Sides are in same ratio so its SSS

Answer 2

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

`(AB)/(HK)= (BC)/(KG)=(CA)/(GH)`

`(24)/(12)=(22)/(11)=(18)/(9)`

now, we can simplify it

`2=2=2`

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