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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, but could not draw it. What is the reason? [Hint: Discuss it using a rough sketch].

(iv) A student attempted to draw a quadrilateral PLAY where $P L=3 \mathrm{~cm}, L A=4 \mathrm{~cm}, A Y=4.5 \mathrm{~cm}, P Y=2 \mathrm{~cm}$ and $L Y=6 \mathrm{~cm}$, but could not draw it. What is the reason? [Hint: Discuss it using a rough sketch].

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Given, a quadrilateral PLAY where $P L=3 \mathrm{~cm}, L A=4 \mathrm{~cm}, A Y=4.5 \mathrm{~cm}, P Y=2 \mathrm{~cm}$ and $L Y=6 \mathrm{~cm}$

Rough sketch: 

We know that sum of two sides of a triangle must be greater than the third side. But $PL + PY < YL$. Hence this is not a triangle. Therefore, this quadrilateral cannot be made.

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HARSH KANKARIA

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