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Construct a Quadrilateral Abcd, Where Ab = 4.2 Cm, Bc = 3.6 Cm, Cd = 4.8 Cm, ∠B = 30° and ∠C = 150°. - Mathematics

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Question

Construct a quadrilateral ABCD, where AB = 4.2 cm, BC = 3.6 cm, CD = 4.8 cm, ∠B = 30° and ∠C = 150°.

Answer in Brief

Solution

Steps of construction: 

Step I: Draw BC = 3 . 6 cm . 

Step II: Construct ∠ABC = 30° at B .

Step III : With B as the centre and radius 4 . 2 cm, cut off BA = 4 . 2 cm . 

Step IV: Construct ∠BCD = 150° at C . 

Step V : With C as the centre and radius 4 . 8 cm, cut off CD = 4 . 8 cm . 

Step VI: Join AD . 

The quadrilateral so obtained is the required quadrilateral .

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Chapter 18: Practical Geometry (Constructions) - Exercise 18.4 [Page 10]

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RD Sharma Mathematics [English] Class 8
Chapter 18 Practical Geometry (Constructions)
Exercise 18.4 | Q 2 | Page 10
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