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A triangular flag has sides 18 cm, 10 cm and 26 cm. Can such a triangle exist?

Class 9Area of a Triangle by Heron's FormulaMensuration
  • AYes, because the sum of any two sides exceeds the third
  • BNo, because 18 + 10 < 26
  • CNo, because 10 + 26 < 18
  • DNo, because the sides are not in a fixed ratio

Step-by-Step Solution

Triangle inequality: 18+10 = 28 > 26, 10+26 = 36 > 18, 18+26 = 44 > 10. All three hold, so the triangle is possible.
Answer: A) Yes, because the sum of any two sides exceeds the third

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