laceymontes7
Answered

Find the area of an equilateral triangle (regular 3-gon) with the given measurement.
9-inch perimeter (the answers something square rooted with a number on the outside too)

Answer :

bhuvna789456

The area of an equilateral triangle is  [tex]9\sqrt{3} /4[/tex]

Step-by-step explanation:

  • Perimeter of a triangle = 3a

⇒ 9 = 3a

⇒ a = 9/3

a = 3

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

⇒  [tex]\sqrt{3}/ 4\times 3^{2}[/tex]

⇒  [tex]\sqrt{3}/ 4\times 9[/tex]

⇒ [tex]9\sqrt{3} /4[/tex]

Other Questions