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 = 120^o BC = 3.6 cm and angle B is obtuse.

Answer 1

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.