Question

If area of equilateral triangle is 320. Find out premiter

Answer 1

Let the side of the triangle be (a) cm.
Area of an equilateral triangle
$= \frac{ \sqrt{3} }{4} {a}^{2} \\ = > 320 = \frac{ \sqrt{3} }{4} {a}^{2} \\ = > {a}^{2} = 320 \: \times 4 \div \sqrt{3} \\ = > {a}^{2} = \frac{1280}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = > {a}^{2} = \frac{1280 \sqrt{3} }{3} \\ = > a = \sqrt{ \frac{1280 \sqrt{3} }{3} } cm$
Perimeter of triangle
$= 3a \\ = 3 \times \sqrt{1280 \sqrt{3}} \div \sqrt{3} \\ = 1280 \times 3 \\ = 3840 {cm}^{2}.$




Hope this will help you.

If you like my answer
Please mark it as brainliest
And
Be my follower if possible.