the rolling triangle

Triangle A'B'C' is rolling around triangle ABC.

There are six cases.@What is the length of locus of point A is?
No.1 AB=6cm, BC=6cm, CA=6cm
No.2 AC=6cm, BC=3cm, angle B is a right angle.
No.3 BC=6cm, AB=3cm, angle A is a right angle.
No.4 BC=3cm, AB=6cm, angle C is a right angle.
No.5 CA=3cm, BC=3cm, angle C is a right angle.
No.6 AB=3cm, BC=3cm, angle B is a right angle.

Roll triangle A'B'C' around triangle ABC by moving points (A'->B'->C') .

@You can also move points A, B, C on CABRI.

Download CABRIU data (d17) from here.