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Math Help - Legs of triangles and hypotenuse.

  1. #1
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    Smile Legs of triangles and hypotenuse.

    Without using trigonometry, express the length of the legs of a 30 degree, 60 degree, 90 degree in terms of the length of the hypotenuse c. Thank you, any information is much appreciated.
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    One of the lengths(which one?) is c/2 (why?), now can you find the third length, remember it is right triangle...
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  3. #3
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    Hello, RoyJones!

    Without using trigonometry, express the length of the legs of a 30-60-90 triangle
    in terms of the length of the hypotenuse \,c.

    Draw an equilateral triangle with side \,c and one altitude.

    Code:
                *
               /|\
              / | \
           c /  |  \
            /   |   \
           /    |    \
          * - - + - - *
           c/2

    Can you find the third side?

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  4. #4
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    Quote Originally Posted by RoyJones View Post
    Without using trigonometry, express the length of the legs of a 30 degree, 60 degree, 90 degree in terms of the length of the hypotenuse c. Thank you, any information is much appreciated.
    Remember we're talking about a right triangle so what happens with the Pythagorean theorem?
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