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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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ConceptConstructing a Quadrilateral When Two Adjacent Sides and Three Angles Are Known

Question

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

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 .

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 18: Practical Geometry (Constructions)
Ex. 18.4 | Q: 2 | Page no. 10
Solution Construct a Quadrilateral Abcd, Where Ab = 4.2 Cm, Bc = 3.6 Cm, Cd = 4.8 Cm, ∠B = 30° and ∠C = 150°. Concept: Constructing a Quadrilateral - When Two Adjacent Sides and Three Angles Are Known.
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