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The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 22 cm and a second side that is 2 cm less than twice the third side, what are the possible lengths for the second and third sides?

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  1. let sides be a,b,c
    let then b =2c-2

    but b+c>22
    2c-2+c>22
    3c>24
    c>8

    if c=10 (greater than 8), then b is
    b=2c-2=18

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    bobpursley
  2. the sides are 22,x,2x-2, so we have

    2x-2-x < 22 < 2x-2+x
    x < 24 < 3x

    So, it looks like 8 < x < 24

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  3. The length

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  4. 5cmand25cm.6.2cmand18cm

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