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Homework Help: G H Hardy A course in pure mathematics

  1. Jun 19, 2011 #1
    1. The problem statement, all variables and given/known data[/b]
    3. if X m and n are positive rational numbers, X(m^2 ~ n^2) , 2Xmn , and X(m^2+n^2) are positive rational numbers. Hence show how to determine any number of right-angle triangles the lengths of all whose sides are rational

    2. Relevant equations

    3. The attempt at a solution
    What does the tilde mean in this context, he doesnt explain use it anywhere else or explain what it is. Also what does "determine any number of right-angle triangles..." mean? Is it asking you to find a general expresion for the lengths of the sides of a triangle whose sides are rational?
  2. jcsd
  3. Jun 20, 2011 #2


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    I believe that the tilde represents a modified form of subtraction. In this case it means to subtract the smaller number from the larger. In other words, it's the absolute value of the difference.
    A right-angle triangle, is a triangle having one right angle. It is usually referred to as simply a 'right triangle'.
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