Question 466721
let side of triangle be a

 The altitudes, medians and the bisectors of a equilateral triangle are equal to 1/2a√3 
Area = 1/2 * base * altitude

area = {{{(1/2) * a * (1/2 * a* sqrt(3))}}}

area = {{{(1/4)*a^2sqrt(3)}}}

perimeter = 3a

{{{3a= (1/4) a^2sqrt(3)}}}
{{{3=(1/4) *a*sqrt(3)}}}
{{{(4*3) /sqrt(3) =a}}}
{{{12/sqrt(3)}}}=a
a= 6.93