Question

the area of an equilateral triangle is 16 under root 3 cm square find its perimeter

Answer 1

Given : Area of equilateral triangle= 16√3 ${cm}^{2}$

Area of equilateral triangle = 16√3

$\frac{ \sqrt{3} }{4} {a}^{2} = 16 \sqrt{3} \\ {a}^{2} = 16 \sqrt{3} \times \frac{4}{ \sqrt{3} } \\ {a}^{2} = 16 \times 4 \\ a = \sqrt{64} \\ a = 8$

Perimeter of equilateral triangle=3a

= 3 × 8

= 24cm

$\bold\blue{Hope\:this\:helps}$