Construct a rhombus the lengths of whose diagonals are 6 cm and 8 cm.
The given rhombus ABCD can be drawn as follows:
Step 1: Draw a line segment AC = 6 cm.
Step 2: With A as centre draw an arc of 4cm (half of 8 cm) below AC.
Step 3: With C as centre draw another arc of 4cm such that it intersects the previous arc at B.
Step 4: Join AB and BC
Step 5: Repeat Step 3 and 4 on other side of AC to get D.
Step 6: Join AD and CD
ABCD is the required rhombus.