apply the triangle inequality theorem and determine which group of side measure will form a triangle

Answer 1

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, if we have three side lengths, let's call them a, b, and c, in a triangle, they will form a triangle if and only if the following conditions are met:

1. a + b > c
2. a + c > b
3. b + c > a

If all three conditions are met, then the three side lengths will form a triangle.