Apply the Triangle Inequality Theorem and determine which group of side measures will form a triangle.(1 point)

Responses

8, 1, 7
8, 1, 7

2, 7, 6
2, 7, 6

9, 4, 3
9, 4, 3

12, 10, 22

1 answer

The only group of side measures that will form a triangle is 2, 7, 6. This is because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 2 + 6 > 7, 6 + 7 > 2, and 2 + 7 > 6, so these side lengths can form a triangle.