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of 25 Which set of three numbers could be the side lengths of a triangle?

Question 18 of 25
Which set of three numbers could be the side lengths of a triangle?
A. 2, 4, 6
B. 2, 4, 8
C. 3, 5, 7
D. 3, 5, 9

Answer

C. 3, 5, 7

Explanation: For three numbers to be the side lengths of a triangle, they must satisfy the triangle inequality theorem. This states that the sum of the lengths of any two sides must be greater than the length of the third side. Option C (3, 5, 7) satisfies this condition:

  1. 3 + 5 > 7
  2. 3 + 7 > 5
  3. 5 + 7 > 3

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