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Construct a Quadrilateral Abcd in Which Ab = 7.7 Cm, Bc = 6.8 Cm, Cd = 5.1 Cm, Ad = 3.6 Cm and ∠C = 120°. - Mathematics

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Question

Construct a quadrilateral ABCD in which AB = 7.7 cm, BC = 6.8 cm, CD = 5.1 cm, AD = 3.6 cm and ∠C = 120°.

Answer in Brief

Solution

Steps of construction: 

Step I: Draw DC = 5 . 1 cm . 

\[\text { Step II: Construct} \angle DCB = 120^\circ . \]

Step III : With C as the centre and radius 6 . 8 cm, cut off BC = 6 . 8 cm . 

Step IV: With B as the centre and radius 7 . 7 cm, draw an arc . 

Step V : With D as the centre and radius 3 . 6 cm, draw an arc to intersect the arc drawn in Step IV at A . 

Step VI: Join AB and AD 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 3 | Page 8
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