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Construction of a Quadrilateral When Two Adjacent Sides and Three Angles Are Given

Construct a q...

Question

Construct a quadrilateral PQRS. PQ=3.5 cm, QR=4 cm, RS=5 cm, SP=4.5 cm, PR=6.5 cm

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Solution

Steps of construction:

Construct triangle PQR using SSS construction condition. Now, we have to locate the fourth point S. This ‘S’would be on the side opposite to Q with reference to PR. For that, we have two measurements. S is 4.5 cm away from P. So, with P as centre, draw an arc of radius 4.5 cm. S is 5 cm away from R. So with R as centre, draw an arc of radius 5 cm S should lie on both the arcs drawn. So it is the point of intersection of the two arcs. Mark S to complete PQRS. PQRS is the required quadrilateral.

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Question 2
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