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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°.
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Solution

Steps :
- Draw BD 6.7 cm.
- Bisect BD at O.
- At O, draw ∠XOD = 60° and produce XO to Y.
- Cut OA = OC = 2.7 cm (half the diagonals 5.4 cm)
- Join AB, AD, BC, and CD.
Thus ABCD is the required ||gm.
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