Question

Construct Quadrilateral PQRS where PQ = 4.2 cm, QR = 3 cm, PS = 2.8 cm, PR = 4.5 cm and QS = 5 cm.

Answer 1

Steps of constructions:

Step 1 : we first draw the rough sketch of the Quadrilateral PQRS

Step 2 : draw $△$ PQR using SSS construction property with measures PQ = 4.2 cm, QR = 3 cm and PR = 4.5 cm.

Step 3 : with center Q and radius 5 cm (QS = 5 cm) and with center P and radius 2.8 cm (PS = 2.8 cm) , draw 2 arcs opposite to vertex Q to locate S.

Step 4 : Join S,P , Q,S and S,R to complete the Quadrilateral PQRS.