Results 1 to 2 of 2

Math Help - Ratio and proportion?

  1. #1
    Super Member fardeen_gen's Avatar
    Joined
    Jun 2008
    Posts
    539

    Ratio and proportion?

    If we are given that:
    \frac{b + c - a}{1} = \frac{a + c - b}{2} = \frac{a + b - c}{3}, how to find a : b : c?

    (I was solving a trigonometry in triangles question, and I needed to find out a:b:c. I found that \frac{s - a}{1} = \frac{s - b}{2} = \frac{s - c}{3}, where s is semi-perimeter. Hence, the the given equation. On second thought, is there any way to find a:b if we know \frac{k + a}{k + b} = \lambda, where k and \lambda are known constants?)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor red_dog's Avatar
    Joined
    Jun 2007
    From
    Medgidia, Romania
    Posts
    1,252
    Thanks
    5
    \frac{b+c-a}{1}=\frac{a+c-b}{2}=\frac{a+b-c}{3}=\frac{a+b+c}{6}=k

    \left\{\begin{array}{ll}a+b+c=6k\\b+c-a=k\end{array}\right.\Rightarrow b+c=\frac{7k}{2}\Rightarrow a=\frac{5k}{2}

    In a similar way find b and c in term of k.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Ratio Proportion
    Posted in the Algebra Forum
    Replies: 4
    Last Post: December 3rd 2011, 11:21 PM
  2. Help about ratio and proportion
    Posted in the Business Math Forum
    Replies: 2
    Last Post: May 31st 2010, 12:10 PM
  3. ratio and proportion.
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 24th 2010, 04:12 PM
  4. please help about ratio and proportion
    Posted in the Algebra Forum
    Replies: 3
    Last Post: November 29th 2008, 10:12 AM
  5. Ratio & Proportion
    Posted in the Algebra Forum
    Replies: 3
    Last Post: June 12th 2008, 08:03 AM

Search Tags


/mathhelpforum @mathhelpforum