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There is a quadrilateral PLAY with PL = 3cm,  LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of LY is not possible?


Options:
A .   2
B .   3
C .   6
D .   4
Answer: Option C
:
C

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. Thus, the correct answer is 6.



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