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Construct a Quadrilateral Abcd, in Which Ab = Bc = 3 Cm, Ad = 5 Cm, ∠A = 90° and ∠B = 105°. - Mathematics

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

Question

Construct a quadrilateral ABCD, in which AB = BC = 3 cm, AD = 5 cm, ∠A = 90° and ∠B = 105°.

Solution

Steps of construction: 

Step I: Draw AB = 3 cm . 

Step II: Construct ∠DAB = 90° at A .

Step III : With A as the centre and radius 5 cm, cut off AD = 5 cm . 

Step IV: Construct ∠ABC = 105° at B . 

Step V : With B as the centre and radius 3 cm, cut off BC = 3 cm . 

Step VI: Join CD . 

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: 7 | Page no. 11
Solution Construct a Quadrilateral Abcd, in Which Ab = Bc = 3 Cm, Ad = 5 Cm, ∠A = 90° and ∠B = 105°. Concept: Constructing a Quadrilateral - When Two Adjacent Sides and Three Angles Are Known.
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