Draw a line segment of length 10 cm and bisect it. Further, bisect one of the equal parts and measure its length.
Question:
Draw a line segment of length 10 cm and bisect it. Further, bisect one of the equal parts and measure its length.
Solution:
Steps of construction:
1. Draw a line segment AB of length 10 cm.
2. Keeping A as center and radius more than half of AB draw arcs one on each side of AB.
3. Keeping B as center and same radius draw arcs cutting the previous arc at point P and Q respectively.
4. Join P and Q which intersects AB at C.
5. Keeping A as center and radius more than half of AC draw arcs on each side of AC.
6. Keeping C as center and the same radius draw arcs cutting the previous arcs at points R and S respectively.
7. Join points R and S which intersects AC at D.
Therefore AD = 2.5 cm