Steps of construction:
1. Draw a line segment AB of length 5.5 cm.
2. From B, cut an arc of radius 6 cm.
3. With center A, draw an arc of radius 7 cm intersecting the previously drawn arc at C.
4. Join AC and BC to obtain the desired triangle.
5. With center B and radius more than half of BC, draw two arcs on both sides of BC.
6. With center C and the same radius as in the previous step, draw two arcs intersecting the arcs drawn in the previous step at X and Y.
7. Join XY to get the perpendicular bisector of BC.