Mathematics
Construct a trapezium ABCD in which AD || BC, AB = CD = 3 cm, BC = 5.2 cm and AD = 4 cm.
Answer
Steps of construction:
- Draw a line segment BC = 5.2 cm.
- From BC, cut off BE = 4 cm.
- With centre E and radius 3 cm, draw an arc.
- With centre C and radius 3 cm, draw an arc to meet the previous arc at D.
- Join ED and CD.
- With centre D and radius 4 cm, draw an arc.
- With centre B and radius 3 cm, draw an arc to meet the previous arc at A.
- Join BA and DA. Then ABCD is the required quadrilateral.
Related Questions
Construct a trapezium ABCD in which AD || BC, ∠B = 60°, AB = 5 cm, BC = 6.2 cm and CD = 4.8 cm.
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.
Using ruler and compasses only, construct a parallelogram ABCD with AB = 5.1 cm, BC = 7 cm and ∠ABC = 75°.
Construct a quadrilateral ABCD in which AB = 3.3 cm, BC = 4.9 cm, CD = 5.8 cm, DA = 4 cm and BD = 5.3 cm.