Question
Construct a quadrilateral $ABCD,$ when $AB = 3\ cm, CD = 3\ cm, DA = 7.5\ cm, AC = 8\ cm$ and $BD = 4\ cm.$
✓
Answer
If we consider a triangle $ABD$ from the given data, then $AB = 3\ cm ,BD = 4\ cm, AD = 7.5\ cm, AB + BD = 3 + 4 = 7\ cm$ However, we know that the sum of the lengths of two sides of a triangle is always greater than the third side. Therefore, construction is not possible from the given data.
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