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Question
Construct a quadrilateral ABCD, where AB = 4.2 cm, BC = 3.6 cm, CD = 4.8 cm, ∠B = 30° and ∠C = 150°.
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Solution
Steps of construction:
Step I: Draw BC = 3 . 6 cm .
Step II: Construct ∠ABC = 30° at B .
Step III : With B as the centre and radius 4 . 2 cm, cut off BA = 4 . 2 cm .
Step IV: Construct ∠BCD = 150° at C .
Step V : With C as the centre and radius 4 . 8 cm, cut off CD = 4 . 8 cm .
Step VI: Join AD .
The quadrilateral so obtained is the required quadrilateral .
RELATED QUESTIONS
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MO = 6 cm
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Construct the following quadrilaterals with the given measurements and also find their area.
AGRI, AG = 4.5 cm, GR = 3.8 cm, ∠A = 60°, ∠G = 110° and ∠R = 90°
A quadrilateral can be constructed uniquely if three angles and any two sides are given.
