We are given the line segment of length 5.8 cm.

Now we have to draw the perpendicular bisector of the line segment.

So we will follow the following construction steps for constructing the perpendicular bisector of PQ

STEP1: Draw a line segment PQ=5.8 cm by using a graduated ruler.

STEP2: With P as centre and radius more than half of PQ, draw two arcs, one on each side of PQ.

STEP3: With Q as centre and the same radius as in step 2, draw arcs cutting the arcs drawn in the previous step at Land N respectively.

STEP4: Draw the line segment with L and N end-points.

The line segment LN is the required perpendicular bisector of Q.