• # question_answer Construct $\overline{AB}$of length$8.9\text{ }cm$. From this, cut off $\overline{AC}$ of length$7.4\text{ }cm$. Measure $\overline{BC}$

 Given, $\overline{AB}=8.9\text{ }cm$ and $\overline{AC}=7.4\text{ }cm$. Now, to construct a line segment of length 8.9 cm, we use the following steps: Step I: Draw a line I. Mark a point A on this line. Step II: Place the pointer of compasses at the zero mark of the ruler. Open it to place the pencil point up to the 8.9 cm mark Step III: Without changing the opening to the compasses. Place the pointer on A and swing an arc to cut I at B. Step IV: $\overline{AB}$ is a line segment of length 8.9 cm. Now, to cut off $\overline{AC}$ of length 7.4 cm from $\overline{AB}$,  we use the following steps: Step V: Now, place the pointer of compasses at the zero mark of the ruler. Open it to the place the pencil point up to 7.4 cm mark.                 ½ Step VI: Without changing the opening of the compasses, place the pointer on A and swing an arc to cut l at C. Step VII: Now, $\overline{AC}$ is a line segment of length 4.7 cm. On measuring, we get $\overline{BC}$ = 1.5 cm.