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Question
Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.
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Solution
∠I + ∠S = 180°
60° + ∠S = 180°
∠S = 120° ...[Cointerior angles]
Steps of construction:
Step I: Draw an arc RI = 7 cm.
Step II: Make ∠RIX = 60°
Step III: With I as centre and radius 5 cm, draw an arc cutting IX at S.
Step IV: Make ∠ISY = 120°
Step V: With R as centre an radius 6.5 cm, draw an arc cutting SY at K.
Step VI: Join KR.
Hence, RISK is the required trapezium.
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