Results 1 to 3 of 3

Math Help - Perpendicular bisector

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    4

    Perpendicular bisector

    The main help i need is with this question:

    1)****The perpendicular bisector of a straight line joining the points (3,2) and (5,6) meets the x axis at A and the y at B. Prove that the distance AB is equal to 6root5.

    I just need to have theses checked to make sure there right, would love if you could just skim it and check

    1)What is the gradient of the line perpendicular to y=3x-5. hence find the equation of the line which goes through (3,1) and is perpendicular to y=3x-5
    a) to find the gradient I did, m2=-1/m1. m1=3 so it was -1/3 = -1/3
    b) We know the coordinates (3,1) which is the y and X, so 1=(-1/3*3)+c
    1=-1+c, so
    2=C all together the answer is y=-1/3x+2

    2)Find the equation of line B which is perpendicular to line A and goes though the mid-point.
    I am given the coordinates for line A, (2,6) and (4,8). Using that i can find both the midpoint and the gradient of line A = midpoint = (3,7) Gradient = 1
    So M2=1/M1 so -1/1=-1
    we know from midpoint, y=7 and x=3 so
    7=(-1*3)+c
    7+3=c
    10=c so the equation is Y=-x+10
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,610
    Thanks
    1576
    Awards
    1
    Quote Originally Posted by Greener View Post
    The main help i need is with this question:
    1)****The perpendicular bisector of a straight line joining the points (3,2) and (5,6) meets the x axis at A and the y at B. Prove that the distance AB is equal to 6root5.
    There is a lot wrong with that.
    Start with the midpoint between (3,2)~\&~(5,6) is (4,4).
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Nov 2007
    From
    Trumbull Ct
    Posts
    909
    Thanks
    27

    perpendicular bisector

    Hi greener,
    Did Plato's hint help you solve this problem? My guess is that you may still be struggling with it.If so here are a few suggestions. Plot the two given points Connect them Draw a slope diagram. From that calculate the slope of the line between the points .
    What then is the slope of the perpendicular bisector It passes thru the midpoint 4,4.Use the point slope formula to find the equation.I hope you can handle the rest.


    bjh
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. perpendicular bisector
    Posted in the Geometry Forum
    Replies: 2
    Last Post: October 19th 2011, 12:46 PM
  2. Perpendicular Bisector
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: July 3rd 2011, 07:31 PM
  3. Perpendicular Bisector?
    Posted in the Geometry Forum
    Replies: 3
    Last Post: July 10th 2010, 05:03 AM
  4. Equation of perpendicular bisector
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: January 4th 2010, 04:04 AM
  5. Perpendicular Bisector
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 5th 2007, 01:37 PM

Search Tags


/mathhelpforum @mathhelpforum