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Question
Construct a parallelogram ABCD, if :
AB = 5.8 cm, AD = 4.6 cm and diagonal AC = 7.5 cm.
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Solution
The rough figure is as follow :
opposite sides of ||gm are equal
BC = AD = 4.6 cm.
The actual figure is constructed as follow :
Steps:
- Draw AB = 5.8 cm.
- Draw an arc of radius 4.6 cm with centre B.
- Draw an arc of radius 7.5 cm from A which intersects the first arc at C.
- From A, draw an arc of radius 4.6 cm.
- From C, draw an arc of radius 5.8 cm which intersects the first arc at D.
- Join AD, CD, BC, and AC.
Thus ABCD is the required ||gm.
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