Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?
    -Thanks
     
  2. jcsd
  3. Jun 20, 2011 #2

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    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'.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook