Question

Construct a quadrilateral PQRS in which PQ = 6cm QR = 5.8cm, RS = 3cm ZQ = 45° and ZR = 90°.​

Answer 1

Steps of Construction:

(i) Construct a line segment QR = 5 cm.

(ii) At the point Q, construct a ray QX making an angle of 60⋅ and cut off QP = 4 cm.

(iii) At the point R, construct a ray RY making an angle of 90⋅ and cut off RS = 4.5 cm.

(iv) Now join PS.

Therefore, PQRS is the required quadrilateral.