If the area of an equilateral triangle is 64\sqrt{3} {\cm}^2, then the side of the triangle is

Sainik School Entrance Exam 2020 Solved Paper

Question : 11 of 150

Marks: +1, -0

If the area of an equilateral triangle is

64√{3} {\cm}^2

, then the side of the triangle is

Solution:

=64 √{3} {\cm}^2

⇒ √{3}/{4} ×(\side)^2=64√{3}{\cm}^2

⇒ (\side)^2=64 ×4

⇒ (\side)^2=(8 ×2)^2

⇒ \side =8 ×2=16 {\cm}

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