Mathematics
Using ruler and compasses only, construct a parallelogram ABCD with AB = 5.1 cm, BC = 7 cm and ∠ABC = 75°.
Answer
Steps of construction:
- Draw a line segment BC = 7 cm.
- At B, construct ∠CBX = 75°.
- With B as center and radius 5.1 cm, draw an arc intersecting BX at A.
- With A as center and radius 7 cm, draw an arc.
- With C as center and radius 5.1 cm, draw an arc to meet the previous arc at D.
- Join AD and CD. Then ABCD is the required parallelogram.
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