30-60-right triangle properties

Discussion in 'Recreational Math' started by Greg Neill, Oct 15, 2008.

  1. Greg Neill

    Greg Neill Guest

    You say that it's a 30-60-right triangle? Then the angles are
    specified as 30, 60, and 90 degrees. So where do alpha and beta
    enter the picture?

    Anyways, draw a picture, fill in what you know. Invoke
    Pythagorus to find the missing data. Then read off your
    cosines as the appropriate ratios.
     
    Greg Neill, Oct 15, 2008
    #1
    1. Advertisements

  2. Greg Neill

    don Guest

    Given a 30-60-right triangle with the short leg equal to x and the
    hypotenuse = 2x ...... the question is find the cosine of angles alpha and
    beta?

    I'm using a book that never gives any answers :-( Trigonometry by I.M.
    Gelfand
     
    don, Oct 15, 2008
    #2
    1. Advertisements

  3. Greg Neill

    don Guest

    don, Oct 16, 2008
    #3
  4. Greg Neill

    Greg Neill Guest

    A labelling convention need not always be applied. You simply
    have to be specific and consistent in your choices for a
    given problem. To avoid confusion, always spell out your
    definitions up front for any given problem.

    Did you solve your problem?
     
    Greg Neill, Oct 16, 2008
    #4
  5. Greg Neill

    don Guest

    Did you solve your problem?

    Since the Hypotenuse is 2x and the short leg was x, the sine of alpha would
    be .5 indicating a 30 degree angle, leaving the other angle to
    be 60, so yes I guess I solved the problem if my thinking is correct... this
    damn book never gives an answer......
     
    don, Oct 16, 2008
    #5
  6. Are you aware that the hypotenuse of a 30-60-90 triangle will *always*
    be twice the length of the short leg?
     
    Michael Stemper, Oct 17, 2008
    #6
    1. Advertisements

Ask a Question

Want to reply to this thread or ask your own question?

You'll need to choose a username for the site, which only take a couple of moments (here). After that, you can post your question and our members will help you out.