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Construct a Quadrilateral Abcd; If: Ab = Ad = 5cm, Bd = 7 Cm and Bc = Dc = 5.5 Cm - Mathematics

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Question

Construct a quadrilateral ABCD; if:

AB = AD = 5cm, BD = 7 cm and BC = DC = 5.5 cm

Sum

Solution

The rough figure is as follow :

Actual construction is as follows (using the above rough fig.)

Steps :

  1. Draw AB = 5 cm.
  2. From A & B draw arcs of radii 5 cm and 7cm which intersect at D.
  3. From B & D draw arcs of radii 5.5 cm each which intersect at C.
  4. Join AD, BD, DC, and BC.
    Thus ABCD is the required quadrilateral.
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Constructing a Quadrilateral
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Chapter 18: Constructions - Exercise 18 (D) [Page 211]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 18 Constructions
Exercise 18 (D) | Q 1.6 | Page 211
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