Question

In quadrilateral PQRS, PQ = 4 cm, QR = 3 cm, RS = 5.9 cm, QS = 4.8 cm and PR = 5.5 cm. Find the value of PS using constructions.

• A. 1cm
• B. 2cm
• C. 3cm
• D. 4cm

Answer 1

The correct option is A

1cm

Step 1: Draw PQ = 4 cm

Step 2: From Q take a radius of 3 cm and draw an arc. Also from P take a radius of 5.5 cm and draw an arc such that it intersects the arc drawn from Q. Mark the intersection as 'R'

Step3: From Q take a radius of 4.8 cm and draw an arc. Also from R, take a radius of 5.9 cm and draw an arc such that it intersects the arc drawn from Q. Mark the point as 'S'

Step 4: Join the points P,Q,R and S to get quadrilateral PQRS.

Step 5, Measure PS. It will be 1 cm.