Question

Construct a rhombus ABCD, when AB = 4.5 cm and AC = 5.5 cm.

Answer 1

Given:

• Side of rhombus AB = 4.5 cm
• Diagonal AC = 5.5 cm

Steps of construction:

1. Draw the diagonal AC = 5.5 cm.
2. With A as center, draw two arcs, each with radius 4.5 cm the side length of the rhombus, one on each side of AC.
3. With C as center, similarly draw two arcs, each with radius 4.5 cm, that intersect the arcs drawn from A.
4. Mark the intersection points of these arcs as B and D.
5. Join A to B, B to C, C to D and D to A.

The quadrilateral ABCD formed is the required rhombus with side AB = 4.5 cm and diagonal AC = 5.5 cm.