Equation of Right Bisectors of Triangle

To find the equation of right bisector of a triangle we examine the following example, consider the triangle having vertices $A\left( { - 3,2} \right)$, $B\left( {5,4} \right)$ and $C\left( {3, - 8} \right)$.
The equation of perpendicular bisector is given as

For the perpendicular bisector of $A\left( { - 3,2} \right)$ and $B\left( {5,4} \right)$, putting these values in the above equation (i), we have

This is the equation of perpendicular bisector of $A\left( { - 3,2} \right)$ and $B\left( {5,4} \right)$
For the perpendicular bisector of $B\left( {5,4} \right)$ and $C\left( {3, - 8} \right)$, putting these values in the above equation (i), we have

This is the equation of perpendicular bisector of $B\left( {5,4} \right)$ and $C\left( {3, - 8} \right)$

For the perpendicular bisector of $C\left( {3, - 8} \right)$ and $A\left( { - 3,2} \right)$, putting these values in the above equation (i), we have

This is the equation of perpendicular bisector of $C\left( {3, - 8} \right)$ and $A\left( { - 3,2} \right)$.