Question

Construct a quadrilateral PQRS in which PQ = 5 cm, QR =3 cm, RS = 10 cm, and SP = 6 cm, angleQ = 45°​

Answer 1

Step-by-step explanation:

Steps of Construction:

(i) Construct a line segment PR = 6.5 cm.

(ii) Taking P as centre and 4.5 cm radius and R as centre and 6 cm radius construct arcs which intersect each other at Q.

(iii) Now join PQ and QR.

(iv) Taking P as centre and 5 cm radius and R as centre and 5.5 cm radius, construct arcs which intersect each other at S.

(v) Join PS and SR.

Hence, PQRS is the required quadrilateral.

Answer 2

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