Question
Construct a parallelogram ABCD in which AB = 4.3cm, AD = 4cm and BD = 6.8cm.

Answer


Steps of construction:
Step 1: Draw AB = 4.3cm.
Step 2: With B as the centre, draw an arc of 6.8cm.
Step 3: With A as the centre, draw another arc of 4cm, cutting the previous arc at D.
Step 4: Join BD and AD.
Step 5: We know that the opposite sides of a parallelogram are equal.
Thus, with D as the centre, draw an arc of 4.3cm.
Step 6: With B as the centre, draw another arc of 4cm, cutting the previous arc at C.
Step 7: Join CD and BC.
Then, ABCD is the required parallelogram.

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