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Math Help - Solving a triangle with only 2 sides?

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    Solving a triangle with only 2 sides?

    I have an obtuse scalene triangle. The sides are "x" feet, "y" feet, and "z" feet...where x < y < z. If I know x and z, is it possible to solve for y without knowing any of the angles? If so, could someone supply the equation(s) necessary?
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    Quote Originally Posted by HotBacon View Post
    I have an obtuse scalene triangle. The sides are "x" feet, "y" feet, and "z" feet...where x < y < z. If I know x and z, is it possible to solve for y without knowing any of the angles? If so, could someone supply the equation(s) necessary?
    Nope.
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  3. #3
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    Triangle

    Hello HotBacon
    Quote Originally Posted by HotBacon View Post
    I have an obtuse scalene triangle. The sides are "x" feet, "y" feet, and "z" feet...where x < y < z. If I know x and z, is it possible to solve for y without knowing any of the angles? If so, could someone supply the equation(s) necessary?
    No, all you can say is that y > z - x, or you wouldn't be able to draw the triangle; and that y < \sqrt{z^2 - x^2}, or the triangle wouldn't have an obtuse angle.

    Grandad
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