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Question
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 = 120o BC = 3.6 cm and angle B is obtuse.
Solution
Steps:
1. Draw AB = 4.5cm.
2. now draw ∠BAS = 120° and draw EA ⊥ AB such that AX = 3.3cm.
3. Through X draws a line QR which is parallel to AB which cuts AS at D.
4. Through B draw an arc taking radius 3.6 cm at C on PQ.
5. Join CB.
ABCD is the required trapezium.
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RELATED QUESTIONS
Construct a trapezium ABCD, when:
AB = 4.8 cm, BC = 6.8 cm, CD = 5.4 cm, angle B = 60o and AD // BC.
Construct a trapezium ABCD, when:
AB = CD = 3.2 cm, BC = 6.0 cm, AD = 4.4 cm and AD // BC.
Construct a trapezium ABCD in which
AB = 3.5cm, BC = 6cm, CD = 3.5cm, AD = 4.4cm and AD || BC.
Construct a trapezium ABCD in which
AB = 4.6cm, BC = 6.4cm, CD = 5.6cm, ∠B = 60° and AD || BC.
