Geometry

I have 4 different examples that contain 3 numbers that I need to know if the 3 numbers in each set will form a triangle.

5,2,8
7,8,14
6,6,12
7,9,15

If the sum of the sides of a triangle must equal 180 than the answer is no to all. Right? But I think this is a trick question. Am I right?

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  1. NO..

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  2. So none of these form a triangle right? Or are you saying no that it's not a trick question.

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  3. You are confusing length of sides with the sum of the angles of a triangle.

    It is true that the sum of the 3 angles of any triangle will add up to 180º, but you are given the lengths of sides.

    One of the basic properties of triangles that the sum of any 2 of the sides must be greater than the third side to form a triangle.
    So the first one cannot be a triangle since 5+2 is not greater than 8

    The second one does form a triange since
    7+8 > 14
    7+14 > 8 and
    8+14 >7

    the third one cannot form a triangle since 6+6 is not greater than 12, as a matter of fact.

    What do you think about the fourth question?

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