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Math Help - Inequalities with Triangles

  1. #1
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    Inequalities with Triangles

    What can you conclude about AC in the following? as in x < AC < x

    1. BC = 7; AC = 2 + AB

    2. AB + AC = 5; AC + BC = 4

    3. BC + AC = 22; AB + BC = 12

    Been working on this all day I just can't seem to figure it out, and no one seems to be able to explain it to me


    Sorry if this is posted in the wrong forum, I couldn't tell if this belonged in Algebra or Geometry.
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  2. #2
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    Quote Originally Posted by RobertJones View Post
    What can you conclude about AC in the following? as in x < AC < x

    1. BC = 7; AC = 2 + AB

    2. AB + AC = 5; AC + BC = 4

    3. BC + AC = 22; AB + BC = 12

    Been working on this all day I just can't seem to figure it out, and no one seems to be able to explain it to me

    Sorry if this is posted in the wrong forum, I couldn't tell if this belonged in Algebra or Geometry.

    Well we know that the sum of the lengths of two sides of a triangle must be greater than the third, so for number 1. you now that 2<AC, since AB is greater than 0

    Can you try a similar argument for 2 and 3?
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