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Draw a Parallelogram Abcd, with Ab = 6 Cm, Ad = 4.8 Cm and ∠Dab = 45°. Draw the Perpendicular Bisector of Side Ad and Let It Meet Ad at Point P. Also, Draw the Diagonals Ac and Bd - Mathematics

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Question

Draw a parallelogram ABCD, with AB = 6 cm, AD = 4.8 cm and ∠DAB = 45°. Draw the perpendicular bisector of side AD and let it meet AD at point P. Also, draw the diagonals AC and BD; and let them intersect at point O. Join O and P. Measure OP.

Sum

Solution

Steps :

  1. Draw AB = 6 cm.
  2. Draw ∠PAB = 45°.
  3. Cut AD = 4.8 cm.
  4. From D, draw an arc of radius 6 cm.
  5. From B, draw an arc of radius 4.8 cm which meets the first arc at C.
  6. Join BC, CD, AD.
    Thus ABCD is the required ||gm.
  7. Draw perpendicular bisector XY of AD which cuts AD at P.
  8. Join AC and BD which intersect at O.
  9. Join OP and measure it.
    OP = 3 cm.
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Construction of Parallelograms
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Chapter 18: Constructions - Exercise 18 (D) [Page 212]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 18 Constructions
Exercise 18 (D) | Q 9 | Page 212
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