Apply the triangle equality theorem and determine which group of side measures will form a triangle

Answer 1

The Triangle Inequality Theorem states that the sum of any two side lengths of a triangle must be greater than the remaining side length.

To determine which group of side measures will form a triangle, we need to check if the sum of any two side lengths is greater than the remaining side length.

Let's consider three side measures: a, b, and c.

If a + b > c, a + c > b, and b + c > a, then these side measures will form a triangle.

However, if any of these inequalities are not satisfied, then the side measures will not form a triangle.

So, if all three inequalities are satisfied, the given side measures will form a triangle. If any of the inequalities are not satisfied, the side measures will not form a triangle.