Question

Which of the following sets of line segments form a triangle​

Answer 1

Its called the Triangle Inequlity Theorem.

If the length of any one side is greater than the sum of the length of the other two, the line segments cannot be used to create a triangle. It is possible to create a triangle using 3 line segments if the sum of the lengths of any two line segments is greater than the length of the third.

Answer 2

The set of line segments that follow Triangle Inequality Theorem form a triangle.

• Triangle Inequality Theorem states that the sum of two side lengths of a triangle is always greater than the third side.
• If this is true for all three combinations of added side lengths i.e. a+b>c, b+c>a and c+a>b then the lengths form a triangle.
• For example:  13, 14 and 25.
• 13+14=27>25 and 14+25=39>13 And 25+13=38>14 . So, it forms a triangle

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