Question

Given `overline"AB"` of length 7.3 cm and `overline"CD"` of length 3.4 cm, construct a line segment `overline"XY"` such that the length of `overline"XY"` is equal to the difference between the lengths of `overline"AB"` and `overline"CD"`. Verify by measurement.

Answer 1

1. Given that, `overline"AB"` = 7.3 cm and `overline"CD"` = 3.4 cm
   
2. Adjust the compasses up to the length of CD and put the pointer of the compasses at A. Draw an arc to cut AB at P.
   
3. Adjust the compasses up to the length of PB. Now draw a line l and mark a point X on it.
   
4. Now, putting the pointer of compasses at point X, draw an arc to cut the line at Y.
   
    `overline"XY"` is the required line segment.