Question

Using Heron 's formula, find the area of an equilateral triangle whose perimeter is 162cm .(Use √3 = 1.73​

Answer 1

Answer:

By Herons formula area A=√{s(s-a)(s-b)(s-c)}

s=162/2=81

a=b=c=162/3=54

putting these values in A above

A=√{81×(81-54)×(81-54)(81-54)}

=√{81×27×27×27}

=9×27×3√3

=1261.17 cm^2