Results 1 to 2 of 2

Thread: Geometry Finding a coordinate

  1. #1
    Member
    Joined
    Sep 2008
    Posts
    120

    Geometry Finding a coordinate

    Given A(2,12) and B(5,0) find the coordinates of P such that P seperates AB in two two parts with a ratio 2 to 1? I do not know how to set this problem up please help me. Thank you
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    12,028
    Thanks
    848
    Hello, IDontunderstand!

    Given $\displaystyle A(2,12)$ and $\displaystyle B(5,0)$, find the coordinates of point $\displaystyle P$
    that seperates $\displaystyle AB$ into two parts with ratio 2:1.

    If P is $\displaystyle \tfrac{2}{3}$ of the way from $\displaystyle A$ to $\displaystyle B$, then:
    . . the $\displaystyle x$-coordinate is $\displaystyle \tfrac{2}{3}$ of the way from 2 and 5 (the two $\displaystyle x$-coordinates)
    . . the $\displaystyle y$-coordinate is $\displaystyle \tfrac{2}{3}$ of the way from 12 and 0 (the two $\displaystyle y$-coordindates).

    . . . . $\displaystyle \begin{array}{ccccc}x &=& 2 + \tfrac{2}{3}(5-2) &=& 4 \\ \\[-4mm] y &=& 12 + \tfrac{2}{3}(0-12) &=& 4 \end{array}$


    Therefore: .$\displaystyle P(4,4)$

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. coordinate geometry
    Posted in the Geometry Forum
    Replies: 2
    Last Post: Feb 13th 2011, 07:12 AM
  2. Coordinate Geometry
    Posted in the Geometry Forum
    Replies: 3
    Last Post: Jul 11th 2010, 04:26 PM
  3. Replies: 2
    Last Post: Jul 5th 2010, 05:23 PM
  4. Coordinate Geometry - Finding Angle
    Posted in the Geometry Forum
    Replies: 1
    Last Post: Apr 25th 2009, 06:29 AM
  5. Coordinate Geometry
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Sep 12th 2008, 04:26 PM

Search Tags


/mathhelpforum @mathhelpforum