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Construct a Quadrilateral Bdef, Where De = 4.5 Cm, Ef = 3.5 Cm, Fb = 6.5 Cm, ∠F = 50° and ∠E = 100°. - Mathematics

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

Question

Construct a quadrilateral BDEF, where DE = 4.5 cm, EF = 3.5 cm, FB = 6.5 cm, ∠F = 50° and ∠E = 100°.

Solution

Steps of construction: 

Step I: Draw EF = 3 . 5 cm . 

Step II: Construct ∠DEF = 100° at E . 

Step III : With E as the centre and radius 4 . 5 cm, cut off DE = 4 . 5 cm . 

Step IV: Construct ∠EFB = 50° at F . 

Step V : With F as the centre and radius 6 . 5 cm, cut off FB = 6 . 5 cm . 

Step VI: Join BD . 

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: 8 | Page no. 11
Solution Construct a Quadrilateral Bdef, Where De = 4.5 Cm, Ef = 3.5 Cm, Fb = 6.5 Cm, ∠F = 50° and ∠E = 100°. Concept: Constructing a Quadrilateral - When Two Adjacent Sides and Three Angles Are Known.
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