Question

If the area of an equilateral triangle is 36√3 m2

, find its perimeter.​

Answer 1

Answer:

36 m

Step-by-step explanation:

If "x" length of the given Δ , then P = 3x and semi-perimeter s = $\frac{3}{2}$ x = 1.5x

A = $\sqrt{1.5x(1.5x-x)^{3} }$ = $\sqrt{1.5x(0.5x)^{3}$ = 0.25x²√3

0.25x²√3 = 36√3

x² = 36 ÷ 0.25 = 144

x = 12 m

P = 3 × 12 = 36 m