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Vikram tries to construct quadrilateral ABCD with AB = 3 cm, BC = 3 cm and diagonal CA = 7 cm.
He draws AB, then an arc of radius 7 cm from A and an arc of radius 3 cm from B to locate C — but the arcs fail to meet.
Why can triangle ABC not be formed?

Class 8Constructing QuadrilateralsGeometry
  • A3 + 3 is less than 7, violating the triangle inequality
  • Bthe diagonal is too short
  • Ctwo sides cannot be equal
  • Dan angle is missing

Step-by-Step Solution

For a triangle the sum of any two sides must exceed the third. Here AB + BC = 3 + 3 = 6, which is less than CA = 7, so the arcs never meet and no triangle (hence no quadrilateral) exists.
Answer: A) 3 + 3 is less than 7, violating the triangle inequality

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