Question 174216
pathagorean theorem states {{{a^2+b^2=c^2}}}where a and b are legs and c is the hypothenuse. In our case of a square both legs (lets call them a) are equal and the hypothenuse is 3
:
{{{a^2+a^2=3^2}}}
:
{{{2a^2-9=0}}}
:
{{{a^2=9/2}}} {{{a=sqrt(9/2)}}} {{{a=sqrt(18)/2}}} {{{a=3sqrt(2)/2}}}
:
so our sides are {{{3sqrt(2)/2}}}feet each
:
*[invoke solve_quadratic_equation 2, 0, -9]