Question :
Choose SSS, SAS, or AA to prove the triangles are similar.
A. SSS
B. SAS
C. AA
Answer :
As, all sides are given so we can use SSS to prove the triangles are similar.
So, correct option is A.
Explanation :
Given :
- Sides of 1st triangle = 24, 32 and 40
- Sides of 2nd triangle = 27, 36 and 45
To Prove :
Proof :
As, all three sides are given so let's check ratio of all three sides.
1. [tex] \tt \cancel{\dfrac{24}{27}} = \dfrac{8}{9}[/tex]
2. [tex] \tt \cancel{\dfrac{32}{36}} = \dfrac{8}{9}[/tex]
3. [tex] \tt \cancel{\dfrac{40}{45}} = \dfrac{8}{9}[/tex]
As, all sides are in equal ratio.
So, by SSS
∆1 ~ ∆2
