Question

Construct a quadrilateral PQRS , given that QR = 4.5 cm, PS= 5.5 cm , RS = 5 cm and the diagonal PR = 5.5 cm & diagonal SQ = 7 cm

Answer 1

Answer:

Steps of Construction:

(i) Construct a line segment QR = 4.5cm.

(ii) At the point Q, construct a ray QX making an angle of 60

⋅

and cut off PS = 5.5 cm.

(iii) At the point R, construct a ray RY making an angle of 90

⋅

and cut off RS = 5cm

(iv) Now join PS.

Therefore, PQRS is the required quadrilateral.