2. The points B, D are placed on the perpendicular bisector of AC:
Calculate the slope of AC:
Therefore the slope of BD is:
3. The points BD are connected by the straight line:
4. The distances and must be equal. To get the coordinates of B you need a parallel to AC which have the distance from AC.
B is the point of intersection between the perpendicular bisector of AC and the circle around M with radius :
I've got: (5, 6), (3, 0)