Question

Choose SSS, SAS, or AA to prove the triangles are similar. A. SSS B. SAS C. AA

Answer 1

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 :

• Triangles are similar

Proof :

As, all three sides are given so let's check ratio of all three sides.

1. $\tt \cancel{\dfrac{24}{27}} = \dfrac{8}{9}$

2. $\tt \cancel{\dfrac{32}{36}} = \dfrac{8}{9}$

3. $\tt \cancel{\dfrac{40}{45}} = \dfrac{8}{9}$

As, all sides are in equal ratio.

So, by SSS

∆1 ~ ∆2