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Construct a Quadrilateral Abcd in Which Ab = 2.8 Cm, Bc = 3.1 Cm, Cd = 2.6 Cm, and Da = 3.3 Cm and ∠A = 60°. - 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 = 2.8 cm, BC = 3.1 cm, CD = 2.6 cm, and DA = 3.3 cm and ∠A = 60°.

Solution

Steps of construction: 

Step I: Draw AB = 2 . 8 cm . 

Step II: Construct ∠BAD = 60° . 

Step III : With A as the centre and radius 3 . 3 cm, cut off AD = 3 . 3 cm . 

Step IV: With D as the centre and radius 2 . 6 cm, draw an arc . 

Step V : With B as the centre and radius 3 . 1 cm, draw an arc to intersect the arc drawn in Step IV at C . 

Step VI: Join BC and CD to obtained 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. 18.3 | Q: 5 | Page no. 8
Solution Construct a Quadrilateral Abcd in Which Ab = 2.8 Cm, Bc = 3.1 Cm, Cd = 2.6 Cm, and Da = 3.3 Cm and ∠A = 60°. Concept: Constructing a Quadrilateral - When Two Adjacent Sides and Three Angles Are Known.
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