Mathematics
Using ruler and compasses only, construct the quadrilateral ABCD given that AB = 5 cm, BC = 2.5 cm, CD = 6 cm, ∠BAD = 90° and the diagonal AC = 5.5 cm.
Answer
Steps of construction:
- Draw a line segment AB = 5cm.
- With centre A and radius 5.5 cm, draw an arc.
- With centre B and radius 2.5 cm, draw an arc to meet the previous arc at C.
- Join AC and BC.
- At A, construct ∠BAX = 90°.
- With centre C and radius 6 cm, draw an arc intersecting AX at D.
- Join CD. Then, ABCD is the required quadrilateral.
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