Question 186

Q188Short answer

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

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∠B = 600 (suppose) ∠A + ∠B = 1800 (sum of co-interior angles) ∠A + 600 = 1800 ∠A = 1200 AB = BC = CD = DA = 5cm Steps of construction 1. Draw AB = 5cm 2. Draw ray AY such that ∠BAY = 1200 3. Mark a point D such that AD = 5cm 4. Draw ray BX such that ∠ABX = 600 5. Mark a point C such that BC = 5cm 6. Joint C and D ∴ ABCD is the required rhombus