Mathematics
Using ruler and compasses only, construct a trapezium ABCD, in which the parallel sides AB and DC are 3.3 cm apart; AB = 4.5 cm, angle A = 120°, BC = 3.6 cm and angle B is obtuse.
Rectilinear Figures
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Answer
Steps of construction :
Draw a line segment AB = 4.5 cm.
Draw ∠BAS = 120° and AE ⊥ AB.
From AE, cut AX = 3.3 cm.
Through X, draw a line PQ parallel to AB and cutting AS at D.
With B as center and radius equal to 3.6 cm draw an arc cutting PQ on C.
Join BC and CD.
Hence, ABCD is the required trapezium.
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