Question

find the area of a equilateral triangle through heron’formula whose side is 'a' unit. PLEASE CAN ANYONE GIVE ME THIS ANSWER. PLEASE IT IS VERY URGENT. I CAN GIVE THIS AS BRAINLIAST ANSWER.

Answer 1

hope this will help you

Answer 2

${\fbox{\huge{\tt{Solution\::}}}}$

(√3/4)a²= Area of equilateral triangle

${\underline{\fbox{\tt{step\:by\:step\:explanation:}}}}$

let the the side of equilateral triangle be a

Semi - perimeter = (a+a+a)/2= 3a/2

Herons'Formula = √[(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/2*a/2*√a/2

a/2[√3a/2*√a/2]

a/2[√3a²/4]

=[√3a²/4] ..........(ans.)