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Question
Construct a quadrilateral ABCD, in which AB = 6 cm, BC = 4 cm, CD = 4 cm, ∠B = 95° and ∠C = 90°.
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Solution
Steps of construction:
Step I: Draw BC = 4 cm .
Step II: Construct ∠ABC = 95° at B .
Step III : With B as the centre and radius 6 cm, cut off BA = 6 cm .
Step IV: Construct ∠BCD = 90° at C .
Step V : With C as the centre and radius 4 cm, cut off BA = 4 cm .
Step VI: Join CD .
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.
