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A triangle has whole-number sides. Two of them are 4 cm and 7 cm, and its perimeter is an even number. How many lengths are possible for the third side?

Class 7Triangle InequalityTriangles
  • A7
  • B4
  • C2
  • D3

Step-by-Step Solution

The third side c is more than 3 and less than 11: 4 to 10. Perimeter 11 + c is even only when c is odd: 5, 7, 9. So 3 lengths.
Answer: D) 3

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