Results 1 to 2 of 2

Math Help - Proof

  1. #1
    Junior Member
    Joined
    Apr 2008
    Posts
    30

    Proof

    Given: A-B-C, D is not on line AC so BD > CD.
    Prove: AD > BD
    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
    12
    Awards
    1
    Quote Originally Posted by GoldendoodleMom View Post
    Given: A-B-C, D is not on line AC so BD > CD.
    Prove: AD > BD
    See diagram:

    BD > CD Given

    \angle C > \angle CBD If one side of a triangle (BD) is longer than another side (CD), then the angle opposite the longer side has a greater measure than the angle opposite the shorter side.

    \angle ABD > \angle C If an angle is an exterior angle of a triangle, then its measure is greater than either of its corresponding remote interior angles.

    \therefore AD > BD If one angle of a triangle ( \angle ABD) has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle ( \angle C).
    Attached Thumbnails Attached Thumbnails Proof-proof.bmp  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: October 19th 2010, 10:50 AM
  2. Replies: 0
    Last Post: June 29th 2010, 08:48 AM
  3. [SOLVED] direct proof and proof by contradiction
    Posted in the Number Theory Forum
    Replies: 2
    Last Post: February 27th 2010, 10:07 PM
  4. Proof with algebra, and proof by induction (problems)
    Posted in the Discrete Math Forum
    Replies: 8
    Last Post: June 8th 2008, 01:20 PM
  5. proof that the proof that .999_ = 1 is not a proof (version)
    Posted in the Advanced Applied Math Forum
    Replies: 4
    Last Post: April 14th 2008, 04:07 PM

Search Tags


/mathhelpforum @mathhelpforum