Q5 of 805 Page 17

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

Steps of construction:


(i) Draw a line segment AB=10 cm.



(ii) Draw a circle with centre A with radius more than 1/2 AB.


Similarly, Draw a circle with centre B with same radius which intersect above circle at M and N respectively.



(iii) Draw line segment MN which intersect AB at point O.


On measuring,


AO=BO=1/2 AB=5 cm



(iv) Draw a circle with centre A with radius more than 1/2 AO.


Similarly, Draw a circle with centre O with same radius which intersect above circle at P and Q respectively.



(v) Draw line segment PQ which intersect AO at X.



On measuring,


AX=XO=1/2 AO=2.5 cm


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