Apply the triangle inequality theorem and determine which group of side measures will form a triangle it's the answer 2, ,7 and 6?
To determine if a given set of side measures will form a triangle, we can apply the triangle inequality theorem. This 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.
Let's apply this theorem to the side measures 2, 7, and 6:
1. 2 + 7 > 6
2. 2 + 6 > 7
3. 7 + 6 > 2
Since all three combinations of side lengths satisfy the triangle inequality theorem, the side measures 2, 7, and 6 will form a triangle.