Question 1042721
"Most ethical outcome" and "safest....one third of the dis...from A to B", means find the  the point one third of the distance from A to B.


Unknown point (x,y).
{{{sqrt((x-7)^2+(y-5)^2)/sqrt((13-7)^2+(8-5)^2)=1/3}}}


{{{3*sqrt((x-7)^2+(y-5)^2)=sqrt(25+9)}}}


{{{sqrt((x-7)^2+(y-5)^2)=12}}}


Before continuing with this somewhat simplified equation, find the equation in slope-intercept form for the line containing A and B.  Substitute for y in the radical equation above.  Continue to solve first for x.