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 40Sides of 2nd triangle = 27, 36 and 45To Prove :Triangles are similarProof :
As, all three sides are given so let's check ratio of all three sides.
1. ![\tt \cancel{\dfrac{24}{27}} = \dfrac{8}{9}](/tpl/images/1121/5867/37978.png)
2. ![\tt \cancel{\dfrac{32}{36}} = \dfrac{8}{9}](/tpl/images/1121/5867/03fb9.png)
3. ![\tt \cancel{\dfrac{40}{45}} = \dfrac{8}{9}](/tpl/images/1121/5867/6a1ab.png)
As, all sides are in equal ratio.
So, by SSS
∆1 ~ ∆2
![Choose SSS, SAS, or AA to prove
the triangles are similar.
A. SSS
B. SAS
C. AA](/tpl/images/1121/5867/eae58.jpg)