Question

Using heron's formula,find the area of an equilateral triangle of side 'a'.

Answer 1

Answer:

Step-by-step explanation:

Length of equilateral triangle=a

S=a+b+c/2

S=a+a+a/2

S=3a/2

Area of equilateral 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

= a^2√3/4 sq.unit