Question

if perimeter of a equilateral triangle is 180 cm then find the area using heron's formula

Answer 1

Perimeter of equilateral triangle =3*side

180=3*side

180/3 =side

60=Side

_______________

Semi perimeter =180/2 =90

Area =√{90(90-60)*(90-60)*(90-60)}

Area =√90*30*30*30

Area =√2700*900

Area =√2700*900

Area = √3*30*30*30*30

Area = 30*30√3

Area of equilateral triangle =900√3cm²

I hope this will help you

-by ABHAY

Answer 2

if the perimeter is 180 m, then the s=180/2=90,each side will be 60 as the triangle has three equal sides summing up to 180 cm
herons formula =under root s*[s-a]*[s-b]*[s-c]
therefore under root,90*90-60*90-60*90-60
under root, 90*30*30*30
30*30 and then under root 3 
therefore 900 under root 3