Question 895318
First find the midpoints of each segment.
{{{x[BC]=(3+1)/2=2}}}
{{{y[BC]=(6-4)/2=1}}}
.
.
{{{x[AC]=(-5+1)/2=-2}}}
{{{y[AC]=(4-4)/2=0}}}
.
.
{{{x[AB]=(-5+3)/2=-1}}}
{{{y[AB]=(4+6)/2=5}}}
.
.
.
Now use the distance formula from the vertex to the midpoint for each vertex, 
{{{D^2[A]=(-5-2)^2+(4-1)^2}}}
{{{D^2[A]=(-7)^2+(3)^2}}}
{{{D^2[A]=49+9}}}
{{{D^2[A]=58}}}
{{{D[A]=sqrt(58)}}}
.
.
{{{D^2[B]=(3-(-2))^2+(6-0)^2}}}
{{{D^2[B]=(5)^2+(6)^2}}}
{{{D^2[B]=25+36}}}
{{{D^2[B]=61}}}
{{{D[B]=sqrt(61)}}}
.
.
{{{D^2[C]=(1-(-1))^2+(-4-5)^2}}}
{{{D^2[C]=(2)^2+(-9)^2}}}
{{{D^2[C]=4+81}}}
{{{D^2[C]=85}}}
.
.
{{{drawing(300,300,-6,6,-5,7,grid(1),
circle(-5,4,0.25),
circle(3,6,0.25),
circle(1,-4,0.25),
line(-5,4,3,6),
line(3,6,1,-4),
line(1,-4,-5,4),
blue(line(-5,4,2,1)),
blue(line(3,6,-2,0)),
blue(line(1,-4,-1,5)),
circle(2,1,0.25),
circle(-2,0,0.25),
circle(-1,5,0.25))}}}