In a 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.

1 cm

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2 cm

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3 cm

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4 cm

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Solution

The correct option is A
1 cm

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.

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