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Use a ruler and a pair of compass to construct  △ABC  in which BC = 4.2 cm, ∠ABC = 60˚ and AB = 5 cm. Construct a circle of radius 2 cm to touch both the arms of ∠ABC of △ABC.

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BC = 4.2cm, ∠ABC = 60˚ and AB = 5 cm

Steps of construction :

(i) Draw BC of length 4.2 cm

(ii) Draw an angle of 60˚ at B.

(iii) Cut BA = 5 cm and join A to B.

(iv) Draw angle bisector of  ∠ABC.

(v) Draw BD at 2 cm intersecting EF at O.

(vi) Taking O as centre and 2 cm as radius draw the required circle.

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