Question
Construct a trapezium RISK in which RI∥KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I=60∘.
Construct a trapezium RISK in which RI∥KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I=60∘.
Answer:
:
∠I+∠S=180∘
60∘+∠S=180∘ [cointerior angles]
∠S=120∘
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 VWith R as centre and radius 6.5 cm, draw an arc cuttingSY at K.
Step VI Join KR.
Thus, RISK is the required trapezium.
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:
∠I+∠S=180∘
60∘+∠S=180∘ [cointerior angles]
∠S=120∘
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 VWith R as centre and radius 6.5 cm, draw an arc cuttingSY at K.
Step VI Join KR.
Thus, RISK is the required trapezium.
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