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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 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].

Answers (1)

best_answer

Given, a quadrilateral PLAY where PL = 3 cm, LA = 4 cm, AY = 4.5 cm, PY = 2 cm and LY= 6 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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