Saturday, June 22, 2013

Division of Line Segment-Unequal Parts

Let AB be the given line segment to be divided into unequal parts say 1/6 ,1/5 ,1/ 4 ,1/3 ,1/ 2 .
  • Draw a line segment AB of given length. 
  • Draw perpendiculars AD and BC at points A and B. Complete the rectangle ABCD 
  • Join diagonals AC and BD intersecting at E. 
  • Draw perpendicular from E on AB and find intersection point F. 
  • Now AF = 1/ 2 AB
  •  Join D and F. The segment FD intersects the diagonal AC at G. Drop perpendicular from G to A. Then AH = 1/3 AB
  • Similarly make constructions as given in the figure to obtain 1/ 4 AB , 1/5 AB and 1/6 AB
This is a Java Applet created using GeoGebra from - it looks like you don't have Java installed, please go to

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