Steps of construction :
1. Draw a line segment \(\overline{PQ}\) = 5.8 cm.
2. Set the compasses as radius with more than half of the length of \(\overline{PQ}\).
3. With P as centre, draw arcs below and above the line segment.
4. With the same radius and Q as centre draw two arcs above and below the line segment to cut the previous arcs. Name the intersecting points of arcs as X and Y.
5. Join the points X and Y. So, the line I is the perpendicular bisector of PQ.
Hence l is required perpendicular bisector of PQ which meets at A.