Question

Using ruler and compasses only, construct a rhombus whose diagonals are 8 cm and 6 cm. Measure the length of its one side.

Answer 1

Steps :

1. Draw BD = 8 cm.

2. Draw perpendicular bisector PQ of BD.

3. Cut OA = OC = 3 cm

[half the diagonal 6 cm]

4. Join AB, AD, BC and CD.

5. Measure side AB which is 5 cm.

Thus ABCD is the required rhombus.