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Construct a Parallelogram Abcd, If : Lengths of Diagonals Ac and Bd Are 5.4 Cm and 6.7 Cm Respectively and the Angle Between Them is 60°. - Mathematics

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Question

Construct a parallelogram ABCD, if :

lengths of diagonals AC and BD are 5.4 cm and 6.7 cm respectively and the angle between them is 60°.

Sum

Solution

Steps :

  1. Draw BD 6.7 cm.
  2. Bisect BD at O.
  3. At O, draw ∠XOD = 60° and produce XO to Y.
  4. Cut OA = OC = 2.7 cm (half the diagonals 5.4 cm)
  5. Join AB, AD, BC, and CD.
    Thus ABCD is the required ||gm.
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Construction of Parallelograms
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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 2.7 | Page 211
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