Results 1 to 2 of 2

Math Help - Parallelogram (point coordinates, diagonal, angle, straight line)

  1. #1
    Newbie
    Joined
    Oct 2011
    Posts
    2

    Parallelogram (point coordinates, diagonal, angle, straight line)

    Hey guys! I will not be too long in pre-explanations - my cousin has big problem with math, however, i could not help him with this one. Hope you will.

    Task. Given parallelogram's PRST three points R, S, T:

    a) Calculate coordinates of a point P and construct parallelogram;
    b) Write an equation of diagonal PS;
    c) Calculate angle between diagonal PS and ST;
    d) Write an equation for a line, which goes through centre of parallelogram and perpendicular to PS.

    If you guys could also tell me what theory you used, that would be very much appreciated because i want to learn, not just get an answer. BIG BIG thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,394
    Thanks
    1479
    Awards
    1

    Re: Parallelogram (point coordinates, diagonal, angle, straight line)

    Quote Originally Posted by Ernest1990 View Post
    Task. Given parallelogram's PRST three points R, S, T:
    a) Calculate coordinates of a point P and construct parallelogram;
    b) Write an equation of diagonal PS;
    c) Calculate angle between diagonal PS and ST;
    d) Write an equation for a line, which goes through centre of parallelogram and perpendicular to PS.
    1) Find the slope of the lines s_{RS}:\overleftrightarrow {RS}\;\& \,s_{TS}:\overleftrightarrow {TS}.

    2) Write the equation of the line \overleftrightarrow {PT} with slope s_{RS}
    Write the equation of the line \overleftrightarrow {PR} with slope s_{TS}

    3) Find \;\left\{ P \right\} = \,\overleftrightarrow {PT}\cap\,\overleftrightarrow {PR}\,

    Now you know the coordinates of a point P.
    The rest follows.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Getting an angle from a curve and a straight line
    Posted in the Trigonometry Forum
    Replies: 6
    Last Post: December 23rd 2011, 10:24 AM
  2. Replies: 3
    Last Post: November 16th 2010, 09:55 PM
  3. Replies: 4
    Last Post: December 9th 2009, 04:24 AM
  4. Replies: 0
    Last Post: October 15th 2008, 04:05 AM
  5. Replies: 3
    Last Post: February 20th 2008, 10:17 AM

Search Tags


/mathhelpforum @mathhelpforum