Question

Draw a line segment AB and bisect it. Bisect one of the equal parts to obtain a line segment of length `1/2` (AB).

Answer 1

Steps of construction:
1. Draw a line segment AB
2. With center A and radius more than `1/2`AB draw arcs one on each side of AB
3. With center B and same radius draw arcs cutting previous arcs at P and Q respectively.
4. Join PQ and which intersect AB at C
5. With center A and radius more than `1/2`AC draw arcs, one on each side of AC.

6. With center C and same radius, draw arcs cutting previous arcs at R and S respectively.
7. Join RS and which intersect AC at D
 ∴ AD = `1/4`AB