Results 1 to 7 of 7

Math Help - Please Help!

  1. #1
    Junior Member whytechocolate01's Avatar
    Joined
    Apr 2007
    From
    On A Cloud Over There Somewhere
    Posts
    46

    Question Please Help!

    A segment joins the midpoints of two sides of a triangle.

    Find the value of x.
    Find the value of y.

    Please explain how to reach the answer! Thanks!
    Attached Thumbnails Attached Thumbnails Please Help!-traingle-geo-4.jpg  
    Last edited by whytechocolate01; May 1st 2007 at 11:25 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,889
    Thanks
    326
    Awards
    1
    Quote Originally Posted by whytechocolate01 View Post
    Find the value of x.
    Find the value of y.

    Please explain how to reach the answer! Thanks!
    It can't be done. The smaller top triangle is similar to the large (overall) triangle, but this will only give you ratios, not specific numbers. The best I can say is that:
    (3x + 2)/(10x - 4) = (3y - 18)/([3y- 18] + [2(y - 5)])

    or

    (3x + 2)/(10x - 4) = (3y - 18)/(5y - 28)

    -Dan
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor Quick's Avatar
    Joined
    May 2006
    From
    New England
    Posts
    1,024
    Quote Originally Posted by topsquark View Post
    It can't be done.
    Tsk Tsk.

    10x-4 = 2(3x+2)

    10x-4 = 6x+4

    4x = 8

    x = 2


    I'll tell you that:

    3y-18 = 2(y-5)

    but you'll have to solve for y.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,707
    Thanks
    627
    Helllo, whytechocolate01!

    Ah, those are midpoints!


    A segment joins the midpoints of two sides of a triangle.
    Find the value of x and y.
    Since those are midpoints: .3y - 18 .= .2(y - 5) . . y = 8


    Theorem: The line segment joining midpoints of two sides of a triangle
    . . is parallel to and one-half the length of the third side.

    Hence, we have: .3x + 2 .= .(10x - 4) . . x = 2

    Follow Math Help Forum on Facebook and Google+

  5. #5
    Forum Admin topsquark's Avatar
    Joined
    Jan 2006
    From
    Wellsville, NY
    Posts
    9,889
    Thanks
    326
    Awards
    1
    Quote Originally Posted by Soroban View Post

    Ah, those are midpoints!
    My comment exactly!

    -Dan
    Follow Math Help Forum on Facebook and Google+

  6. #6
    Junior Member
    Joined
    May 2007
    Posts
    31

    Thumbs up

    Awesome job everyone! I had this exact question on a worksheet! LOL. Thanks to whytechocolate01 for posting this!
    Follow Math Help Forum on Facebook and Google+

  7. #7
    Junior Member whytechocolate01's Avatar
    Joined
    Apr 2007
    From
    On A Cloud Over There Somewhere
    Posts
    46

    Talking Thanks to all!

    Thank you all for helping me figure out this problem. You have all been quite helpful!

    @ IHATECHONGAS: Hiiiiiiiiiiii! LOL. Don't mind me i'm being random... :P

    Toodlez!
    Follow Math Help Forum on Facebook and Google+


/mathhelpforum @mathhelpforum