Draw a line segment AB of length 5.8 cm. Draw the perpendicular bisector of this line segment.

Steps of construction:

(i) Draw a line segment AB=5.8 cm.

(ii) Draw a circle with centre A with radius more than 1/2 AB.

Similarly, Draw a circle with centre B with same radius which intersect above circle at M and N respectively.

(iii) Draw line segment MN which intersect AB at point O.

On measuring,

m∠AOM=m∠BOM=90°