Question

Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.

Answer 1

∠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.