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How many different triangles with whole-number side lengths (in cm) have a perimeter of 15 cm?

Competition practiceGeometry
  • A7
  • B5
  • C6
  • D8

Step-by-Step Solution

List sides a ≤ b ≤ c with a + b + c = 15 and a + b > c (so c ≤ 7): (1, 7, 7), (2, 6, 7), (3, 5, 7), (3, 6, 6), (4, 4, 7), (4, 5, 6), (5, 5, 5). That makes 7.
Answer: A) 7

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