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Q.

If the ratio of corresponding sides of two equilateral triangles is 2:3, then the ratio of their areas is
 


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a

5:7

b

4:9

c

3:5

d

7:9 

answer is B.

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Detailed Solution

Given that the ratio of corresponding sides of two equilateral triangles is 2:3.
All equilateral triangles are similar.
We know that if two triangles are similar, then ratio of their areas is in proportion with the ratio of squares of their corresponding sides.
So, the ratio of areas of the given equilateral triangles whose sides are in the ratio 2:3 is,
⇒ 2 2 3 2 ⇒ 4 9  
Ratio of areas is 4:9.
Therefore, the correct option is 2.
 
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