1.

The length of each side of an equilateral triangle having an area of 9√3 cm2 isA. 8 cmB. 36 cmC. 4 cmD. 6 cm

Answer»

D. 6 cm

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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