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Question

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.

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