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Riya marks three points A, B and C on a field. She measures AB = 9 m and BC = 4 m and wants AC to be a whole number of metres.
What is the largest whole-number length AC can be so that A, B, C still form a triangle?

Class 9Inequalities in a TriangleGeometry — Triangles
  • A11
  • B24
  • C12
  • D13

Step-by-Step Solution

AC must satisfy 9-4 < AC < 9+4, i.e. 5 < AC < 13. The largest whole number strictly less than 13 is 12 m.
Answer: C) 12

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