In the rectangular coordinate plane, make points a (6,0), B (0,8), and find point C on the coordinate axis to make the triangle ABC into an isosceles triangle, Find the coordinates of all points c that meet the conditions,

In the rectangular coordinate plane, make points a (6,0), B (0,8), and find point C on the coordinate axis to make the triangle ABC into an isosceles triangle, Find the coordinates of all points c that meet the conditions,

Point a is on the x-axis and point B is on the y-axis
1. First, find the symmetric point C of point a about y axis. The coordinate of C is C (- 6,0). At this time, the triangle ABC forms an isosceles triangle
2. Then find the symmetric point C of B about X axis. The coordinates of C are C (0, - 8). At this time, the triangle ABC forms an isosceles triangle