Question:
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
Solution:
(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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