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