With the following data, a quadrilateral can be constructed. PQ = 4 cm, QR = 6 cm, RS = 5 cm, PS = 5.5 cm and PR = 7 cm.

True

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False

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Solution

The correct option is A
True

The diagonal PR is a part of 2 triangles PSR and PQR.

Since one side of a triangle cannot be greater than the sum of other 2 sides, the length of PR must be smaller than sums PS +SR and PQ+QR.

In this quadrilateral, the condition is satisfied.

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