Establish a rectangular coordinate system with C as the origin, AC as the X axis and BC as the Y axis. The straight line L passes through C//AB, and L: Y=-X% F is the intersection of L and a circle with AB as its diameter A (X-1) 2+Y 2 = 2 $. Connect the equations% $ to get Y= 1+ root number 3 or Y=

So the distance from F to BC is the distance from F to Y axis, and the Y coordinate of F is Y= 1+ radical number 3 or Y= 1- radical number 3.