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in Class IX Maths by Expert (1.4k points)

The length of each side of an equilateral triangle having an area of 9√3 cm2 is
(a) 8 cm                
(b) 36 cm                    
(c) 4 cm                      
(d) 6 cm 

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1 Answer

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(d) Given, area of an equilateral triangle = 9√3 cm2
∴ Area of an equilateral triangle = √3/4(Side)2
⇒  √3/4 (Side)2 = 9√3
⇒  (Side)2 = 36
∴ Side = 6 cm  [taking positive square root because side is always positive]
Hence, the length of an equilateral triangle is 6 cm. 

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