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Question
Construct a quadrilateral BDEF, where DE = 4.5 cm, EF = 3.5 cm, FB = 6.5 cm, ∠F = 50° and ∠E = 100°.
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Solution
Steps of construction:
Step I: Draw EF = 3 . 5 cm .
Step II: Construct ∠DEF = 100° at E .
Step III : With E as the centre and radius 4 . 5 cm, cut off DE = 4 . 5 cm .
Step IV: Construct ∠EFB = 50° at F .
Step V : With F as the centre and radius 6 . 5 cm, cut off FB = 6 . 5 cm .
Step VI: Join BD .
The quadrilateral so obtained is the required quadrilateral .
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A quadrilateral can be constructed uniquely if three angles and any two sides are given.
