Ambiguous Case of SideSideAngle Triangle

[list=1]
Use the slider to change the length of side BD.
[list=2]
Move point B to change angle BAD. Angle A is congruent to angle H, angle B is congruent to angle J, side AB is congruent to side HJ, and side BD is congruent to side JK.
[list=3]
The show 2nd triangle button will show all possible triangles in the top construction.