Construction of a Quadrilateral When Two Diagonals and Three Sides Are Given
A student att...
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]