Results 1 to 3 of 3

Math Help - Compute the angle A

  1. #1
    Member
    Joined
    Nov 2006
    Posts
    152

    Compute the angle A

    Let ABC be a triangle with angle A < Angle C < 90 < angle B. Consider the bisectors of the external angles at A and B, each measured from the vertex to the opposite side (extended). Suppose both these line segments are equal to AB. Compute the angle A.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    11
    Awards
    1
    A sketch would be nice.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,810
    Thanks
    116
    Quote Originally Posted by perash View Post
    Let ABC be a triangle with angle A < Angle C < 90 < angle B. Consider the bisectors of the external angles at A and B, each measured from the vertex to the opposite side (extended). Suppose both these line segments are equal to AB. Compute the angle A.
    The two angle bisectors intersect in point S. According to your problem triangle ABS must be an equilateral triangle which is only possible if the external angles are 120. Therefore the internal angles must be 60.
    Attached Thumbnails Attached Thumbnails Compute the angle A-extern_angles.gif  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: March 1st 2010, 09:53 AM
  2. Replies: 4
    Last Post: October 2nd 2009, 07:54 AM
  3. Replies: 2
    Last Post: March 28th 2009, 02:18 PM
  4. Replies: 5
    Last Post: November 10th 2008, 05:42 AM
  5. Replies: 2
    Last Post: February 15th 2007, 10:16 PM

Search Tags


/mathhelpforum @mathhelpforum