Draw a line segment AB and bisect it. Bisect one of the equal parts to obtain a line segment of length (AB).

We have to draw a line segment of any length, bisect it and again bisect it such that it is equals to.



Steps of construction


STEP1: Draw line segment AB of any length.


STEP2: With centre A and radius greater than half of AB, draw two arcs one on each side of AB.


STEP3: With centre B and taking same radius, draw two arcs one on each side of AB, intersecting the previous two arcs at C and D respectively.


STEP4: Draw a line segment having end-points C and D. Segment CD is the perpendicular bisector of AB. Let CD intersects AB at M.


STEP5: With centre A and radius greater than half of AM, draw two arcs one on each side of AM.


STEP6: With centre M and taking same radius, draw two arcs one on each side of AM, intersecting the previous two arcs at E and F respectively.


STEP7: Draw a line segment having end-points E and F. Segment EF is the perpendicular bisector of AM. Let EF intersects AM at N.


6