If the area of an
equilateral triangle is 16√3 sq. cm, then find the perimeter of the triangle
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Answer:
Step-by-step explanation:
Area of an equilateral triangle
= \frac{ \sqrt{3} }{4} {a}^{2}
where 'a' is side of equilateral triangle
So
\frac{ \sqrt{3} }{4} {a}^{2} = 16 \sqrt{3}
\frac{ {a}^{2} }{4} = 16
{a}^{2} = 4 \times 16
{a}^{2} = 64
a = \sqrt{64}
a=8cm
perimeter =3(8)
=24cm
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