Maximum and minimum triangle angle sum in non-euclidian geometry

Discussion in 'Geometry and Trigonometry' started by Dheglen, Mar 15, 2022.

  1. Dheglen

    Dheglen

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    So, I called my mother and told her that I was trying to construct a triangle with two right angles, and she said "that it's not possible". I said "yes it is", she said "no it isn't" etc...

    Anyway, is the maximum angle sum 90 * 3 = 270 degrees, and the minimum close to zero?
     
    Dheglen, Mar 15, 2022
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  2. Dheglen

    MathLover1

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    Can a triangle have two right angles? The answer is “NO” in Euclidian Geometry., a triangle can never have two right angles. Reason: Sum of the three interior angles of a triangle must be 180 degrees.

    but spherical geometry you can have two or even three :

    [​IMG]
     
    MathLover1, Mar 15, 2022
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  3. Dheglen

    Dheglen

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    And an angle can't be 0 degrees?
     
    Dheglen, Mar 16, 2022
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  4. Dheglen

    MathLover1

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    in Euclidian Geometry
    The key reason that triangles cannot have angles which measure is that such a figure would necessarily be 3 points on a straight line, and such a figure is not a triangle.
     
    MathLover1, Mar 16, 2022
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  5. Dheglen

    nycmathguy

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    This question should be asked in the Other Advanced Math forum. The Geometry and Trigonometry forum is more for high school and undergraduate mathematics.
     
    nycmathguy, Mar 16, 2022
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  6. Dheglen

    nycmathguy

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    Is this not geometry beyond the high school and undergraduate level of mathematics? This question should be posted in the Other Advanced Math forum. Agree?
     
    nycmathguy, Mar 16, 2022
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  7. Dheglen

    Dheglen

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    Does it have to have an area > 0 to be a triangle?
     
    Dheglen, Mar 16, 2022
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  8. Dheglen

    MathLover1

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    yes
    Any figure with 0 square with area is not possible.
     
    MathLover1, Mar 16, 2022
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