Question
Construct a parallelogram ABCD in which AB = 5.2cm, BC = 4.7cm and AC = 7.6cm.

Answer


Steps of construction:
Step 1: Draw AB = 5.2cm.
Step 2: With B as the centre, draw an arc of 4.7cm.
Step 3: With A as the centre, draw another arc of 7.6cm, cutting the previous arc at C.
Step 4: Join A and C.
Step 5: We know that the opposite sides of a parallelogram are equal. Thus, with C as the centre, draw an arc of 5.2cm.
Step 6: With A as the centre, draw another arc of 4.7cm, cutting the previous arc at D.
Step 7: Join CD and AD.
Then, ABCD is the required parallelogram.

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