Answer:
Given, \[\overline{AB}=7.3\text{ }cm\] and \[\overline{CD}=3.4\text{ }cm\] Now, to construct required line segment \[\overline{XY}\], we use the following steps: Step I: Firstly, draw \[\overline{AB}=7.3\text{ }cm\] and \[\overline{CD}=3.4\text{ }cm\] Step II: Now, place the pointer of compasses on C of pencil on D. The opening of the instrument gives the length of \[\overline{CD}\] i.e., 3.4 cm. Step III: Without changing the opening of the compasses place the pointer on A and swing an arc to cut \[\overline{AB}\] at R. Step IV: Thus, \[\overline{AR}=3.4\text{ }cm\] and \[\overline{RB}\] is the difference between the length of \[\overline{AB}\] and \[\overline{CD}\]. Step V: Now, draw a line I and mark a point X on it. Step VI: Place the pointer of compasses on R and of pencil on B. The opening of the compasses gives the length of \[\overline{RB}\] . Step VII: Without changing the opening of the compasses, place the pointer on X and swing an arc to cut l at Y. Thus, \[\overline{XY}\] is a line segment whose length is equal to the difference between the lengths of \[\overline{AB}\] and \[\overline{CD}\]. Verification: By actual measurement, we have \[\overline{XY}=3.9\text{ }cm\] Now, \[\overline{AB}\overline{CD}=7.3\text{ }cm3.4\text{ }cm=3.9\text{ }cm\] \[\Rightarrow \] \[\overline{XY}=\overline{AB}\overline{CD}\]. i.e., length of \[\overline{XY}=\] The difference of length of \[\overline{AB}\] and \[\overline{CD}\]. Hence, verified.
You need to login to perform this action.
You will be redirected in
3 sec