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3 May, 16:57

What is the smallest integer x, for which x, x+5, and 2x-15 can be the lengths of the sides of a triangle?

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Answers (2)
  1. 3 May, 19:54
    0
    x = 10

    Step-by-step explanation:

    Criterion: The sum of the shorter two sides must just barely exceed the third side.

    If we assume that 2x-15 represents the third side, then write the following equation and solve it for x:

    x + x+5 = 2x - 15 There is no solution to this.

    If we assume that x+5 represents the third side, then x + 2x - 15 = x + 5. Attempting a solution: 3x - 15 = x + 5, or 2x = 20, or x = 10. Check: Is the sum of x and 2x-15

    about equal to x+5? Is 10 + 2 (10) - 15 equal to 10 + 5? Is 30-15 = 15? Yes. x = 10
  2. 3 May, 20:12
    0
    the smallest integer x can be is 11 because it has to be greater than 10
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