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Question
Construct `overline"AB"` of length 7.8 cm. From this, cut off `overline"AC"` of length 4.7 cm. Measure `overline"BC"`.
Solution
- Draw a line l and mark a point A on it.
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By adjusting the compasses up to 7.8 cm, draw an arc to cut l on B, while putting the pointer of compasses on point A.
`overline"AB"` is the line segment of 7.8 cm.
- By adjusting the compasses up to 4.7 cm, draw an arc to cut l on C, while putting the pointer of compasses on point A. `overline"AC"` is the line segment of 4.7 cm.
- Now, put the ruler along with this line such that 0 mark of the ruler will match with point C.
On reading the position of point B, it comes to 3.1 cm. `overline"BC"` is 3.1 cm.
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