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Construct a Quadrilateral Abcd in Which Ab = Bc = 3 Cm, Ad = Cd = 5 Cm, and ∠B = 120°. - Mathematics

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Question

Construct a quadrilateral ABCD in which AB = BC = 3 cm, AD = CD = 5 cm, and ∠B = 120°.

Answer in Brief

Solution

Steps of construction: 

Step I: Draw AB = 3 cm . 

Step II: Construct ∠ ABC = 120° . 

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

Step IV: With C as the centre and radius 5 cm, draw an arc . 

Step V : With A as the centre and radius 5 cm, draw an arc to intersect the arc drawn in Step IV at D . 

Step VI: Join AD and CD to obtained the required quadrilateral .

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Chapter 18: Practical Geometry (Constructions) - Exercise 18.3 [Page 8]

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RD Sharma Mathematics [English] Class 8
Chapter 18 Practical Geometry (Constructions)
Exercise 18.3 | Q 4 | Page 8
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