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Mathematics

Construct a parallelogram ABCD in which diagonal AC = 6.3 cm; diagonal BD = 7cm and the acute angles between the diagonals is 45°.

Rectilinear Figures

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Answer

Steps of construction :

  1. Draw a line AC = 6.3 cm and locate its mid point O.

  2. Draw line BOD such that ∠BOC = 45° and OB = OD = 12\dfrac{1}{2} BD = 12\dfrac{1}{2} x 7 cm = 3.5 cm

  3. Join AB, BC, CD and DA.

Construct a parallelogram ABCD in which diagonal AC = 6.3 cm; diagonal BD = 7cm and the acute angles between the diagonals is 45°. Chapterwise Revision (Stage 1), Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required parallelogram.

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