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Arjun has three sticks of lengths 5 cm, 9 cm and 14 cm.
He tries to join their ends to form a triangle. Can he succeed, and why?

Class 9Inequalities in a TriangleGeometry — Triangles
  • ANo, because 5 + 9 = 14 (not greater)
  • BYes, it forms a right triangle
  • CYes, it forms an isosceles triangle
  • DNo, because 14 - 9 = 5

Step-by-Step Solution

For a triangle, sum of two sides must be greater than the third. Here 5 + 9 = 14, equal to (not greater than) the third side, so the sticks only lie flat in a line. No triangle forms.
Answer: A) No, because 5 + 9 = 14 (not greater)

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