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Question
Construct a parallelogram ABCD, if :
lengths of diagonals AC and BD are 6.3 cm and 7.0 cm respectively, and the angle between them is 45°.
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Solution

Steps :
- Draw AC = 6.3 cm.
- Bisect AC at O.
- At O, draw ∠XOC = 45° and produce XO to Y.
- Cut OB = OD = 3.5 cm (half the diagonal 7 cm.)
- Join AB, CB, AD, and CD. Thus ABCD is the required || gm.
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