Q5.    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.

Answers (1)

The steps of construction are as follows:

(i) Draw a line ′l′ and take a point X on it.

(ii) Construct \bar{XZ} such that length \bar{XZ}  = length of \bar{AB} = 7.3 cm

(iii) Then cut off \bar{ZY} = length of \bar{CD} = 3.4 cm

(iv) Thus the length of \bar{XY} = length of \bar{AB} – length of \bar{CD}

Verification:

By measurement we find that length of \bar{XY} = 3.9 cm

= 7.3 cm - 3.4cm = \bar{AB} - \bar{CD}

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