Question

If side of an equilateral triangle is 'a 'then its area is​

Answer 1

Answer:

√3/4a^2 is the right answer.

Answer 2

Answer:

side = a

semiperimeter = 3a/2

by herons formula

area = √ 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

= √3a^4/16

= √3 a²/4

$\frac{ \sqrt{3 } }{4} a {}^{2}$

hence area of equilateral Δ is √3a²/4.