# 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.

D Divya Prakash Singh

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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