Question

the area of an equilateral triangle is numerically equal to its perimeter find the length of its side correct to two decimal Palace

Answer 1

Let the side of an equilateral triangle is a

perimeter of equilateral triangle= area of equilateral triangle

3a= (√3/4)a^2
a= (4×3)/√3
a= (4×3)×√3/ √3×√3. ( by rationalising)
a= 4√3
side = 4√3
perimeter of equilateral triangle= 3a
perimeter of equilateral triangle= 3× 4√3
perimeter of equilateral triangle= 12√3
perimeter of equilateral triangle= 12× 1.732
perimeter of equilateral triangle= 20.78 units

[ value of √3 = 1.732]
this should be right..I got it from Google..

Answer 2

here is your answer by UDIT

let the side of triangle be x

so area of an equilateral triangle = (√3a^2)/4

and perimeter =3×a

so

(√3x^2)/4=3x

=> x=12/(√3)

=6.92 units