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Construct a Quadrilateral Abcd in Which ; ∠A = 120°, ∠B = 60°, Ab = 4 Cm, Bc = 4.5 Cm and Cd = 5 Cm. - Mathematics

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Sum

Construct a quadrilateral ABCD in which ; ∠A = 120°, ∠B = 60°, AB = 4 cm, BC = 4.5 cm and CD = 5 cm.

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Solution

The rough figure is as follow :

The Actual figure is constructed as follow

Steps :

  1. Draw AB = 4 cm.
  2. At A, draw ∠PAB = 120°.
  3. At B, draw ∠QBA = 60°.
  4. From BQ, cut BC = 4.5 cm.
  5. From C, draw an arc of radius 5 cm which meets AP at D.
  6. Join CD.
    Thus ABCD is the required quadrilateral.
Concept: Constructing a Quadrilateral
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 18 Constructions
Exercise 18 (D) | Q 6 | Page 212
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