By the Triangle Inequality Theorem, the sum of two sides should be greater than the size of the 3rd side, while the distinction of these two sides have to be much less than the length of this third side. Generally you would certainly take the absolute value of the distinction of these 2 side together you wouldn"t recognize which is higher than the other!

The simplest way to prove even if it is these line segments can type a triangle, is through going against this theory. Let us prove the the heat segment don"t kind a triangle. As you have the right to see, adding 7 and 1 is higher than 1, respectively 7 and 7 is greater than 1. Hence -

Solution = A. True

You are watching: The segments shown below could form a triangle

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