Question

Given $\overline{AB}$ of length $7.3cm$ and $\overline{CD}$ of length $3.4cm$, 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

Steps of construction:
(i) Draw a line '$l$' and take a point $X$ on it.
(ii) Construct $\overline{XZ}$ such that length $\overline{XZ}=$ length of $\overline{AB}$ $=7.3cm$
(iii) Then cut off $\overline{ZY}$ = length of $\overline{CD}=3.4cm$
(iv) Thus the length of $\overline{XY}=$ length of $\overline{AB}$ – length of $\overline{CD}$

Verification:

Hence, by measurement we find that length of $\overline{XY}=3.9cm$
$=7.3cm–3.4cm$
$=\overline{AB}$ $-\overline{CD}$