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Using a ruler and a pair of compasses only, construct: (i) A triangle ABC, given AB = 4 cm, BC = 6 cm and ∠ABC = 90°.

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Using a ruler and a pair of compasses only, construct: 

(i) A triangle ABC, given AB = 4 cm, BC = 6 cm and ∠ABC = 90°. 

(ii) A circle which passes through the points A, B and C and mark its centre as O. 

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Steps of Construction:

(1) Draw side BAC, 6 cm. 

(2) Draw a ∠B = 90°, and cut AB = 4 cm. 

(3) Meet AC. 

(4) Draw Bisector of BC and AB. Which meet at point ‘O’. 

(5) Now draw a circle as centre ‘O’. 

(6) This circle passes through the point A, B, and C.

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