Question

find the area of equilateral triangle whose side is 6 cm by heron's formula​

Answer 1

a=6cm, b=6cm, c=6cm

∴s=

2

a+b+c

=

2

6+6+6

=9cm

∴ Area of the equilateral triangle

=

s(s−a)(s−b)(s−c)

=

9(9−6)(9−6)(9−6)

=

9(3)(3)(3)

=9

3

cm

2