Question

if the area of an equiletral triangle is 24 √3m² then its perimetre is

Answer 1

☆Given-

Area of equilateral triangle is 24√3m²

☆To find-

Perimeter of the triangle.

⚫Let the side of equilateral triangle be 'x'

●Formula to find area of equilateral triangle is-

➼ A =  $\frac{\sqrt{3}}{4}$ x²

➼ So, $\frac{\sqrt{3}}{4}}$ x²=  24√3

➼ x² = 96

➼ x = √96

∴ x = 4√6 m

Perimeter-

⚫Formula→ P = 3x

➼ P= 3 × 4√6

➼ P = 12√6

∴ The perimeter of the given equilateral triangle of area 24√3m² and side  4√6 m is 12√6m.