Results 1 to 2 of 2

Math Help - Isosceles Trapezoid Proof

  1. #1
    Newbie
    Joined
    Sep 2012
    From
    Winchester, Kentucky
    Posts
    1

    Isosceles Trapezoid Proof

    An isosceles trapezoid has points A,B,C, and D where AD and BC are parallel. Prove that any isosceles trapezoid can be inscribed in a circle. Do this by finding a unique point 0 which is equidistant from points A,B,C, and D. Write a proof on how to construct this circle.

    Note: Sides AB, BC, and CD have length 1 and side AD has length square root of 3.
    Last edited by Senators88; September 4th 2012 at 10:46 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member kalyanram's Avatar
    Joined
    Jun 2008
    From
    Bangalore, India
    Posts
    142
    Thanks
    14

    Re: Isosceles Trapezoid Proof

    Draw a perpendicular bisector of the sides AD and DC mark their point of intersection as O. Now O is equidistant from A,D and C. With O as the center and radius OA ( =OD= OC ) draw a circle this circle passes through A,D and C. This will also pass through B. As quadrilateral ABCD is cyclic.
    Q.E.D.

    (Refer to the figure attached).

    Kalyan.
    Attached Thumbnails Attached Thumbnails Isosceles Trapezoid Proof-isotra.png  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] isosceles trapezoid
    Posted in the Geometry Forum
    Replies: 1
    Last Post: January 24th 2010, 11:10 PM
  2. isosceles trapezoid help
    Posted in the Geometry Forum
    Replies: 3
    Last Post: November 2nd 2009, 05:10 PM
  3. Area of Isosceles Trapezoid
    Posted in the Geometry Forum
    Replies: 1
    Last Post: May 3rd 2009, 04:44 PM
  4. Area of an Isosceles Trapezoid
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: December 4th 2007, 06:52 AM
  5. isosceles trapezoid
    Posted in the Geometry Forum
    Replies: 1
    Last Post: June 26th 2007, 02:56 PM

Search Tags


/mathhelpforum @mathhelpforum