Apply the Triangle Inequality Theorem and determine which group of side measures will form a triangle.
The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides is always greater than the length of the third side.
To determine which group of side measures will form a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side.
Let's consider three side lengths: a, b, and c.
If a + b > c, a + c > b, and b + c > a, then these side lengths can form a triangle.
If any of these conditions are not met, then the side lengths cannot form a triangle.
So, to determine which group of side measures will form a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the third side for all three groups.