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in Quadrilaterals by (65.5k points)

Construct rectangle ABCD with the following data. 

(a) AB = 4 cm, BC = 6 cm.

(b) AB = 6 cm AC = 7.2 cm

1 Answer

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by (65.3k points)
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Best answer

Opposite sides of a rectangle are equal as each angle is a right angle. 

∴ AB = CD = 4 cm.

(a) AB = 4 cm, BC = 6 cm

Steps:

1. Draw a line segment AB = 6 cm. 

2. Construct a perpendicular at B. 

3. With 7 cm radius at A as center draw an arc on the perpendicular. 

Let the point be C. 

4. With BC as radius draw an arc from A. 

5. With AB as radius cut the arc from A. 

6. Join AD and CD. 

(b) AB = 6 cm AC = 7.2 cm 

Steps:

1.Draw a line segment AB = 6 cm. 

2. Draw perpendicular at B. 

3. With 4cm radius cut the line at A. 

4. With AD = 6 cm draw an arc. 

5. With CD – 4 cm cut the arc. 

6. Join AD and CD.

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