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Question

A student attempted to draw a quadrilateral PLAY such that

PL=3 cm, LA= 4 cm, AY=4.5 cm, PY=2 cm, and LY=6 cm. But he was not able to draw it. Why? [1 Mark]


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Solution

If we consider triangle PLY, the sides do not obey triangle inequality.
This means construction of the given triangle is impossible and therefore the given quadrilateral cannot be constructed.
3+2 6
[1 Mark]

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