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The lengths of two sides of a triangle are 7 cm and 9 cm.
The perimeter of the triangle is a whole number. What is the maximum possible perimeter?

Class 9Inequalities in a TriangleGeometry — Triangles
  • A34
  • B62
  • C28
  • D31

Step-by-Step Solution

Third side satisfies 9-7 < < 9+7, i.e. 2 < < 16. Max whole-number . Maximum perimeter = 7 + 9 + 15 = 31 cm.
Answer: D) 31

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