Question

The perimeter of a equilateral triangle is 60m what will be its area ? by using Heron's formula

Answer 1

let the equal sides of traingle be x

then x +X+X = 60

3x = 60

x = 20

then sides are a = 20 ,b =20,c =20

s = A+B+C/2

s= 20+20+20/2

s= 60/2 = 30

Using herons formula

√s(s-a)(S-b)(s-c)

√30(30-20)(30-20)(30-20)

√30×10×10×10

√3×10×10×10×10

100√3

hope it helps:)

Answer 2

the perimeter of that /\=60m


(because it's an equilateral triangle its one side will be equal to 60/ 3)

one side = 20m

semi perimeter = 20+20+20/2
=30m
area of a triangle according to Herons formula = √s(s-a)(s-b)(s-c)
= √30×10×10×10
=173.205m^2