Mathematics
Using ruler and compasses only construct a rhombus ABCD, given that AB = 5 cm, AC = 6 cm. Measure ∠BAD.
Answer
Steps of construction:
- Draw a line segment AB = 5 cm.
- With centre A and radius 6 cm, with centre B and radius 5cm, draw arcs intersecting each other at C.
- Join AC and BC.
- With centre A and C and radius 5cm, draw arcs intersecting each other at D.
- Join AD and CD. Then ABCD is the required rhombus.
On measuring, ∠BAD = 106°.
Hence, ∠BAD = 106°.
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