Question

8. If the area of an equilateral triangle is
24√3 m², then its perimeter is​

Answer 1

Step-by-step explanation:

Area of equilateral triangle = √3/4 a²

24√3 = √3/4 a²

24√3 x 4/√3 = a²

24 x 4 = a²

96 = a²

a = 4√6 cm

perimeter of triangle = 4√6 + 4√6 + 4√6

= 12√6 Ans.

Hope it helps!!!

Answer 2

Step-by-step explanation:

Area of equilateral triangle =

Area of equilateral triangle =

$\sqrt{3} \div 4 \times {a}^{2}$

$24 \sqrt{3} = \sqrt{3} \div 4 \times {a}^{2}$

$24 \times \sqrt{3} \times 4 \div \sqrt{3} = {a}^{2}$

$\sqrt{96} = a$

$9.7m = a$

perimeter of equilateral triangle =3×9.7

=29.1m

=30m(approx)

I hope it helps u..

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