1.

If the area of an equilateral triangle is 16√3 cm2, then the perimeter of the triangle is A. 48 cm  B. 24 cm C. 12 cm D. 36 cm

Answer»

B. 24 cm

Given, area of an equilateral triangle = 16√3 cm2

Area of an equilateral triangle = √3/4 (side)2

√3/4(Side)2 = 16√3 

=> (Side)2 = 64

=> Side = 8 cm [taking positive square root because side is always positive]

Perimeter of an equilateral triangle = 3 x Side

= 3 x 8 

= 24 cm

Hence, the perimeter of an equilateral triangle is 24 cm.



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