Construct the rhombus ABCD whose diagonals AC and BD are of lengths 8 cm and 6 cm respectively.

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asked Mar 15 in Class X Maths by navnit40 (-3,330 points)

Construct the rhombus ABCD whose diagonals AC and BD are of lengths 8 cm and 6 cm respectively. Construct  the inscribed circle of the rhombus. Measure its radius.

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answered Mar 15 by priya12 (-11,669 points)

Steps of construction :

1. Draw AC = 8 cm.

2. Draw perpendicular bisector of AC = cut it at I.

3. Cut IB = 6/2 = 3 cm and ID = 3 cm and join ABCD. Then ABCD is the required rhombus.

4. Now from I draw a perpendicular to BC to meet it at L.

5. With I as centre  and IL  as radius, draw a circle which is the required circle. Its radius = IL = 2.4 cm. 

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