Question

Show that the area of equalitral triangle is √3/4a2 geometrical u only where a is the side of the equilateral triangle

Answer 1

Step-by-step explanation:

side=a

semi perimeter(s)= a+a+a/2=3a/2cm

By heron formula,

area of triangle= √s(s-a)(s-b)(s-c)

=√3a/2*(3a/2-a)*(3a/2-a)*(3a/2-a)

=√3a/2*a/2*a/2*a/2

=√3/4a^2 cm^2