Question

Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

Answer 1

The area of an equilateral triangle is  $9\sqrt{3} /4$

Step-by-step explanation:

• Perimeter of a triangle = 3a

⇒ 9 = 3a

⇒ a = 9/3

a = 3

• Area of an equilateral triangle = $\sqrt{3}/ 4\times a^{2}$

⇒  $\sqrt{3}/ 4\times 3^{2}$

⇒  $\sqrt{3}/ 4\times 9$

⇒ $9\sqrt{3} /4$