Answer:
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.
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