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The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 15 ft and 27 ft. Find the possible lengths of the third side.
The third side must have a length greater than
? ft and less than
? ft.

  • Math -

    let the third side be x , where x > 0
    then x+15 > 27 ---> x > 12
    and
    x+27> 15 ---> x > -12
    so far we have x > 12
    and
    12+27 > x
    x < 39

    so :
    12 < x < 39

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