Question:
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
Solution:
(b) 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.