Hello, Ragnarok!

Did you make a sketch?

Find the coordinates of the point of intersection of the perpendicular bisectors of the sides of a triangle

whose vertices are located at (-a, 0), (b, c), and (a, 0).

The perpendicular bisector of side is the y-axis, .[1]Code:| | R | * (b,c) | * * *| * * | * P * | * Q - - * - - - - + - - - - * - - (-a,0) | (a,0) |

The slope of side is

. . The perpendicular slope is

. . . . The midpoint of side is

The equation of the perpendicular bisector of side is:

. . .[2]

The intersection of [1] and [2] is: .