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Question
Construct a parallelogram when one of its side is 4 cm and its two diagonals are 5.6 cm and 7 cm. Measure the other side.
Solution
Steps of construction:
Step I: Draw AB = 4 cm.
Step II: With A as centre and radius 2.8 cm, draw an arc.
Step III: With B as centre and radius 3.5 cm, draw another arc cutting the previous arc at O.
Step IV: Join OA and OB.
Step V: Produce AO to C that is OC = AO and produce BO to D that is OD = BD.
Step VI: Join AD, BC and CD.
Hence, ABCD is the required parallelogram.
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