Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By masters

Math Help - Ambiguous Case (SSA)

  1. #1
    Newbie
    Joined
    Apr 2012
    From
    United States
    Posts
    19

    Ambiguous Case (SSA)

    Please see attachment

    What does h represent? side c???

    Thanks a bunch
    Attached Thumbnails Attached Thumbnails Ambiguous Case (SSA)-screen-shot-2012-04-11-12.04.38-pm.png  
    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

    Re: Ambiguous Case (SSA)

    Quote Originally Posted by Ashz View Post
    Please see attachment

    What does h represent? side c???

    Thanks a bunch
    Hi Ashz,

    h is the height of the triangle.

    Let me state the ambiguous case a little differently. You might reference: The law of sines, including the ambiguous case.

    Consider triangle ABC, with sides a, b, c (a opposite angle A, b opposite angle B, and c opposite angle C)

    I. Case 1: \angle A < 90 \text{ and } h = b \sin A

    If a >= b, we have only one solution

    If a < b, then we need to compare a with h.

    If a<h, then there is no solution.
    If a=h, then there is one solution.
    If a>h, then there are two solutions.

    II. Case 2:  \angle A > 90

    If a \le b, then there is no solution.

    If a>b, then there is one solution.

    I hope this helps. It sounds like a lot of stuff to keep up with, but keep the notes handy and it will take the mystery out of the ambiguous case.
    I like to call this case the "Donkey Law of Sines" because it comes into play only when you have an Angle - Side - Side situation or "ASS". Politically correct texts call it SSA.


    Thanks from Ashz
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Apr 2012
    From
    United States
    Posts
    19

    Re: Ambiguous Case (SSA)

    HAHAHA I think I <3 you! Thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Ambiguous Case Help
    Posted in the Trigonometry Forum
    Replies: 7
    Last Post: December 4th 2011, 09:30 AM
  2. Ambiguous case using law of sines
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: May 30th 2011, 01:42 PM
  3. Law of Cosines/Ambiguous case questions!
    Posted in the Trigonometry Forum
    Replies: 11
    Last Post: October 6th 2008, 05:01 PM
  4. The Ambiguous Case...Two Solutions
    Posted in the Pre-Calculus Forum
    Replies: 6
    Last Post: September 13th 2008, 11:41 PM
  5. The Ambiguous Case...One Solution
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: September 13th 2008, 09:17 PM

Search Tags


/mathhelpforum @mathhelpforum