Question 179851
First find the midpoint of AB using the midpoint formula,
{{{x[m]=(x[1]+x[2])/2}}}
{{{y[m]=(y[1]+y[2])/2}}}
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{{{x[m]=(-3-4)/2=-3.5}}}
{{{y[m]=(7-5)/2=1}}}
Now use the distance formula between this ({{{x[m]}}},{{{y[m]}}}) and (10,10),
{{{D=sqrt((x[1]-x[2])^2+(y[1]-y[2])^2)}}}
{{{D=sqrt((-3.5-10)^2+(1-10)^2)}}}
{{{D=sqrt((-13.5)^2+(-9)^2)}}}
{{{D=sqrt((182.25)+(81))}}}
{{{D=sqrt(263.25)}}}
{{{D=16.22}}}