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the sum of the lenths of any two sides of a triangle must be greater than the third side. if a triangle has one side that is 17 cm and a second side that is 4cm less than twice the third side, what are the possible lenths for the second and third side?

  • math -

    You succinctly state the property being used. Then you give the two sides. What keeps you from figuring the answer?

    Using a,b,c for the sides,
    a = 17
    b = 2c-4

    We know that a+b > c, so 17+2c-4 > c
    13 > c

    So, any value of c < 13 will work.
    For example:
    a = 17
    c = 10
    b = 16

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