Question

Find the length of each side of an equilateral triangke having an area of 9root3

Answer 1

hi,

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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