Q.5 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 XY is equal to the difference between the length of \(\overline{AB} \) and \(\overline{CD} \) . Verify the measurement.


Answer :

(i) Construct \(\overline{AB} \) = 7.3 cm and \(\overline{CD} \) = 3.4 cm.
(ii) Take a point P on the given line l.
(iii) Construct \(\overline{PR} \) such that \(\overline{PR} \) = \(\overline{AB} \) = 7.3 cm.
(IV) Construct \(\overline{RQ} \) = \(\overline{CD} \) = 3.4 cm such that PQ = \(\overline{AB} \) – \(\overline{CD} \) .
Verification : On measuring, we observe that \(\overline{PQ} \) = 3.9 cm = 7.3 cm - 3.4 cm. = \(\overline{AB} \) – \(\overline{CD} \)
Thus, \(\overline{PQ} \) = \(\overline{AB} \) – \(\overline{CD} \).

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