Results 1 to 4 of 4

Math Help - How do I find a random point on the hypotenuse?

  1. #1
    worldspawn
    Guest

    How do I find a random point on the hypotenuse?

    I'm trudging through 5-6 years worth of forgotten math lessons and can't remember how to do this. I have a right triangle, the two sides both are equal to 30 so the angles are a clean 45 degrees a piece. I need to know how to determine the x,y coords of a random point on the hypotenuse. I have a diagram but forgive it's crudeness, it's just an example:



    Those red dots are what I need to figure out. Ignore their position, since it's just an example. If I pointed to a random spot on that line, what math do I need to figure out the coords?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,914
    Thanks
    779
    Hello, worldspawn!

    The points are on the line: . x + y \:=\:30\quad\Rightarrow\quad y \:=\:30- x


    So given an x-value, say, x = 7, then: . y \:=\:30 - 7 \:=\:23

    Therefore, the point is: . (7,\,23)

    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member OReilly's Avatar
    Joined
    Mar 2006
    Posts
    340
    Quote Originally Posted by worldspawn View Post
    I'm trudging through 5-6 years worth of forgotten math lessons and can't remember how to do this. I have a right triangle, the two sides both are equal to 30 so the angles are a clean 45 degrees a piece. I need to know how to determine the x,y coords of a random point on the hypotenuse. I have a diagram but forgive it's crudeness, it's just an example:



    Those red dots are what I need to figure out. Ignore their position, since it's just an example. If I pointed to a random spot on that line, what math do I need to figure out the coords?
    You need to use Deep Blue.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,969
    Thanks
    1788
    Awards
    1
    Selecting any point on that line segment is a uniform distribution. We can model it this way: select a number uniformly in the interval [0,30]. Call it a, then the corresponding point on the line segment is (a,30-a).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. find hypotenuse
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: April 6th 2011, 08:34 AM
  2. two ways to find hypotenuse
    Posted in the Geometry Forum
    Replies: 2
    Last Post: July 31st 2010, 11:50 PM
  3. Replies: 3
    Last Post: May 23rd 2010, 02:26 AM
  4. How to find the length of the hypotenuse
    Posted in the Geometry Forum
    Replies: 5
    Last Post: November 21st 2009, 10:25 AM
  5. find length of hypotenuse
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: June 8th 2009, 01:43 AM

Search Tags


/mathhelpforum @mathhelpforum