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
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  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

    I'm using a book that never gives any answers :-( Trigonometry by I.M.
    don, Oct 15, 2008
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  3. Greg Neill

    don Guest

    don, Oct 16, 2008
  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
  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
  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
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