Question 1107134
Each triangle side is {{{2sqrt(10)}}}, found using distance-formula.  This means {{{AB=BC=CA=2*sqrt(10)}}}.


Slope of AB is {{{1/2}}}, and then slope of the line perpendicular to AB and containing point C must be  {{{-2}}}.  Also This perpendicular bisector line must contain midpoint of AB, which is  (using Midpoint formula), (0,1).
This means, line containing point C is {{{y=-2x+1}}}.


{{{sqrt((-4-x)^2+(-1-(2x+1))^2)=2*sqrt(10)}}}
and
{{{sqrt((4-x)^2+(3-(2x+1))^2)=2*sqrt(10)}}}

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