Question

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

Answer 1

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.