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Geometry help needed

  1. Apr 18, 2010 #1
    I was solving this problem:

    If the distances of the sides of a triangle ABC from its circumcenter be x, y and z respectively, then prove that

    [tex] \frac {a}{x} + \frac {b}{y} + \frac {c}{z} = \frac {abc}{4xyz}[/tex]

    Don't give me solution. I already have.

    But I got stuck at following points

    Here is the image.

    [PLAIN]http://www.monbattle.com/4.jpg[/CENTER] [Broken]

    It has been told there that angel BMD = A ............. How?????????

    and then tan A + tan B + tan C = tan A. tan B. tan C............ How???????

    I must give some information about the picture above.

    M is circumcenter of the triangle and MD, ME and MF are the perpendicular bisectors of the triangle.

    If there any theorem concerning with my problem please tell. I'll Google it to know more.​
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
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