Question

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

Answer 1

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.