Question

Construct a rhombus ABCD in which AB = 4 cm and diagonal AC is 6.5 cm.

Answer 1

Steps of construction:
Step 1: Draw AB = $4cm$
Step 2: With B as the centre, draw an arc of $4\mathrm{cm}$.
Step 3: With A as the centre, draw another arc of $6.5\mathrm{cm}$, cutting the previous arc at C.
​Step 4: Join AC and BC.
Step 5: With C as the centre, draw an arc of 4 cm.
Step 6: ​With A as the centre, draw another arc of $4\mathrm{cm}$, cutting the previous arc at D.
Step 7: Join AD and CD.
ABCD is the required rhombus.