Question

Construct a rhombus whose side is 5 cm and one angle is of 60°.

Answer 1

Suppose ∠B = 60°

∠A + ∠B = 180°  ...[Sum of cointerior angles]

∠A + 60° = 180°

∠A = 120°

AB = BC = CD = DA = 5 cm

Steps of construction:

Step I: Draw AB = 5 cm.

Step II: Draw a ray AY that is ∠BAY = 120°.

Step III: Mark a point D that is AD = 5 cm.

Step IV: Draw a ray BX that is ∠ABX = 60°.

Step V: Mark a point C that is BC = 5 cm.

Step VI: Join C and D.

Hence, ABCD is the required rhombus.