Question

If the area if ab equilateral triangle is `24sqrt(3) sq` cm. , then its perimeter is  :


Options:
A .  `2sqrt(6) cm`
B .  `4sqrt(6) cm`
C .  `12sqrt(6) cm`
D .  96 cm
Answer: Option C

Area of an equilateral triangle of side  a cm = `(sqrt(3) 4 a^2) cm^2`

`:.`  `  sqrt(3)/4 a^2 =  24sqrt(3)`

`hArr  a^2  = 96`

`hArr    a = 4sqrt(6) cm`

`:.`   Perimeter = 3c = `12sqrt(6) cm`




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