Question

If the area of a equilateral triangle is 24root3 cm then what is his perimeter

Answer 1

Area of equilateral triangle = (√3 a²/4 )

➡ √3 a²/4 = 24 √3

➡ √3 a² = 24√3*4

➡ √3a² = 96√3

➡ a² = (96√3)/√3

➡ a² = 96

➡ a = 4√6

so, side of triangle = 4√6 cm.

Perimeter = 3*side

➡ 3 * 4√6

➡ 12√6 cm.

Hope it will help you !!!

Answer 2

$\sqrt{96 + \sqrt{96 + \sqrt{96} } }$