Draw a line segment of length 9 cm using ruler and compass. Divide this line segment into three equal parts.

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Solution

Steps of construction:
1. Draw a line segment $A B = 9 c m$
2. Make any acute angle at $A$ .
3. Starting from $A$ as centre and any convenient radius set off three equal distances.
4. Join the third arc to $B .$
5. Then we draw line segments parallel to $E B .$
Hence $A C = C D = B D = 3$ cm each.

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