Question

If area of a equilateral triangle is 16V3 cm², then perimeter of triangle is
a) 48cm b) 24cm c) 12cm d) 36cm

Answer 1

Answer:

b) 24cm

Step-by-step explanation:

$area \: of \: equilateral \: triangle = \frac{ \sqrt{3} }{4} {a}^{2} \\ \\ \frac{ \sqrt{3} }{4} {a}^{2} = 16 \sqrt{3} \\ \\ {a}^{2} = 16 \sqrt{3} \times \frac{4}{ \sqrt{3} } \\ \\ {a}^{2} = 64 \\ a = 8$

$perimeter = 3a = 3 \times 8 \\ = 24cm$