Question

the perimeter of a equilateral triangle is 60m the area is ​

Answer 1

Answer : As equilateral triangle has all sides equal

Perimeter = 3 x side

Side = 60/3 = 20 mtrs

Each side of triangle is 20 mtrs

Hence a = b = c = 20 mtrs

Semiperimeter (s) = perimeter/2

s = 60/2 = 30 mtrs

By Heron's formula

Area of triangle = √s(s-a)(s-b)(s-c)

= √30(30–20)(30–20)(30–20)

= √30x10x10x10

=10x10√3

Area of triangle = 100√3 sq. Mtrs or 173.2 sq mtrs