Mathematics
Using ruler and compasses only, construct a parallelogram ABCD in which AB = 4.6 cm, BC = 3.2 cm and AC = 6.1 cm.
Answer
Steps of construction:
- Draw a line segment AB = 4.6 cm
- With A as center and radius 6.1 cm, draw an arc.
- With B as center and radius 3.2 cm, draw an arc to meet the previous arc at C.
- Join AC and BC.
- Again, with A as center and radius 3.2 cm, draw an arc.
- With C as center and radius 4.6 cm, draw an arc to meet the previous arc at D.
- Join AD and CD. Then ABCD is the required parallelogram.
Related Questions
Using ruler and compasses only, construct a parallelogram ABCD such that BC = 4 cm, diagonal AC = 8.6 cm and diagonal BD = 4.4 cm. Measure the side AB.
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 a parallelogram ABCD with AB = 5.1 cm, BC = 7 cm and ∠ABC = 75°.
Using ruler and compasses, construct a parallelogram ABCD given that AB = 4 cm, AC = 10 cm, BD = 6 cm. Measure BC.