A quadrilateral PLAY is to be constructed with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. In this quadrilateral which number should LY should be less than?
5

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Solution

The correct option is A 5
Since one side of a triangle cannot be greater than the sum of the other two sides, diagonal LY must be smaller than the sum of PL + PY and smaller than the sum of AL + AY. PL + PY =5 and AL + AY = 8.5. Hence, LY must be less than 5.

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