Construct a rhombus whose side is 5 cm and one angle is of 60∘.
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Solution
∠B=60∘ [suppose] ∠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 ray AY such that ∠BAY=120∘. Step III: Mark a point D such that AD = 5 cm. Step IV: Draw a ray BX such that ∠ABX=60∘ Step V: Mark a point C such that BC = 5 cm. Step VI: Join C and D. ∴ ABCD is required rhombus.