Results 1 to 2 of 2

Math Help - Solve the triangle?

  1. #1
    Member
    Joined
    Nov 2009
    Posts
    87

    Solve the triangle?

    Use the given information to solve the triangle:
    C = 85 degrees 20', a = 35. c = 50

    I am confused as to how to find A, B, and b of the triangle.

    Any help is appreciated.
    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 iluvmathbutitshard View Post
    Use the given information to solve the triangle:
    C = 85 degrees 20', a = 35. c = 50

    I am confused as to how to find A, B, and b of the triangle.

    Any help is appreciated.
    Hi iluvmathbutitshard,

    Try using the law of cosines.

    c^2=a^2+b^2-2ab \cos C

    50^2=35^2+b^2-2(35)b \cos 85\frac{1}{3}

    You can solve for b here, then use that answer to solve for angle B by using the law of sines.

    \frac{\sin C}{c}=\frac{\sin B}{b}


    Or....

    Use the law of sines to start with to find angle A.

    \frac{\sin 85\frac{1}{3}}{50}=\frac{\sin A}{35}

    Then, you'll have angle A and angle C. Easy to find angle B.

    Use law of sines again to find b.

    \frac{\sin B}{b}=\frac{\sin C}{c}
    Last edited by masters; January 28th 2010 at 09:54 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Solve a Triangle
    Posted in the Trigonometry Forum
    Replies: 4
    Last Post: November 8th 2011, 08:13 AM
  2. Solve this triangle?
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: July 25th 2010, 10:40 AM
  3. Someone please help me solve this triangle...
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: July 17th 2010, 12:22 PM
  4. Solve the following right triangle?
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: January 20th 2009, 09:58 AM
  5. solve the triangle, but this is not a right triangle
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: December 4th 2006, 01:41 PM

Search Tags


/mathhelpforum @mathhelpforum