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Two sides of a triangle are 6 cm and 11 cm, and the third side is a whole number of centimetres. What is the smallest possible perimeter?

Class 7Triangle InequalityTriangles
  • A28 cm
  • B17 cm
  • C22 cm
  • D23 cm

Step-by-Step Solution

The third side must be more than 5 cm, so at least 6 cm. Smallest perimeter = 6 + 11 + 6 = 23 cm. (22 cm uses a 5 cm side, which is flat.)
Answer: D) 23 cm

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