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Question

A line segment RS of 4.75 cm is given. Divide the line segment in two equal parts.

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Solution

1. Draw a line segment RS=4.75 cm.
2. With any radius greater than 2.37 cm, and compass fixed at R, draw 2 arcs, one above and one below RS.
3. With the same radius, compass at S, cut the 2 arcs drawn in step 2.
4. The line joining these two arcs (PQ) is the perpendicular bisector of RS.
Hence, RO and SO are two equal parts.

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