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A triangle has whole-number sides and a perimeter of 24 cm. What is the longest that any one side can be?

Class 7Triangle InequalityTriangles
  • A23 cm
  • B11 cm
  • C12 cm
  • D8 cm

Step-by-Step Solution

If a side is c, the other two add to 24 − c, and we need 24 − c > c, so c < 12. The longest whole number is 11 cm (e.g. 11, 11, 2).
Answer: B) 11 cm

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