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A student attempted to draw a quadrilateral PLAY where PL = 3 cm, LA = 4 cm, AY = 4.5 cm, PY = 2 cm and LY = 6 cm, hut could not draw it. What is the reason?


Let us draw the rough sketch of the quadrilateral PLAY and mark its measurements, No, this quadrilateral cannot be drawn.
∵ Point P cannot be located. In ∆ LPY, sum of the lengths of PL and PY is less than LY, i.e. (2 cm + 3 cm) < 6 cm.

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