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Draw a Line Segment of Length 10 Cm and Bisect It. Further Bisect One of the Equal Parts and Measure Its Length. - Mathematics

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Question

Draw a line segment of length 10 cm and bisect it. Further bisect one of the equal parts and
measure its length.

Solution

Steps of construction:
1. Draw a line segment AB of 10cm
2. With center A and radius more than `1/2` AB draw arcs one on each side of AB
3. With center B and same radius draw arcs cutting previous arcs at P and Q respectively.
4. Join PQ and which intersect AB at C
5. With center A and radius more than `1/2` AC drawing on each side of AC.
6. With center C and same radius, draw arcs cutting previous arcs at R and S respectively.
7. Join RS and which intersect AC at b.
∴ AD = 2.5cm.

 

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Chapter 16: Constructions - Exercise 16.1 [Page 4]

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RD Sharma Mathematics [English] Class 9
Chapter 16 Constructions
Exercise 16.1 | Q 5 | Page 4

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