If the perimeter of an equilateral triangle is 180 cm. Then its area will be_____

Given

Side of the triangle = a

Perimeter of the triangle = 3a = 180 cm

∴ a = 60 cm

Find out

We have to determine the Area of the triangular triangle

Semi perimeter of the triangle (s) = 3a/2

Formula

By using Heron’s formula, are of triangle= √s(s−a)(s−b)(s−c)s(s−a)(s−b)(s−c)

Solution

Area of the triangle will be =

= √90(90-60)(90-60)(90-60)

= √90×(30)×(30)×(30)

= 900√3 cm²

Answer

Hence, the area of the triangle = 900√3 cm²