Construct \(\overline{AB}\). From this, cut off \(\overline{AC}\) of length 4.7 cm. Measure \(\overline{BC}\)

Solution:

Step 1: Draw a line l and mark a point A on it.

Step 2: By adjusting the compasses up to 7.8 cm, while placing the pointer of compasses on point A draw an arc to cut l on B \(\overline{AB}\) is the line segment of 7.8 cm

Step 3: By adjusting the compasses up to 4.7 cm, draw an arc to cut l on C, while placing the pointer of compasses on point A. \(\overline{AC}\) is the line segment of 4.7 cm

Step 4: Now, place the ruler in such a way that the 0 mark of the ruler will match with point C.

Now read the position of point B. It will be 3.1 cm. \(\overline{BC}\) is 3.1 cm

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