Apply the Triangle Inequality Theorem and determine which group of side measures will form a triangle.(1 point) Responses 2, 7, 6 2, 7, 6 9, 4, 3 9, 4, 3 8, 1, 7 8, 1, 7 12, 10, 22

Question

Apply the Triangle Inequality Theorem and determine which group of side measures will form a triangle.(1 point) Responses 2, 7, 6 2, 7, 6 9, 4, 3 9, 4, 3 8, 1, 7 8, 1, 7 12, 10, 22

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.

Applying the theorem to the given side lengths:
1) 2 + 7 > 6 --> True
2) 9 + 4 > 3 --> True
3) 8 + 1 > 7 --> True
4) 12 + 10 > 22 --> False

Based on the Triangle Inequality Theorem, the group of side measures that will form a triangle is:
1) 2, 7, 6
2) 9, 4, 3
3) 8, 1, 7

Answer 2

there is only 1 answer

Answer 3

Apologies for the confusion. Upon re-evaluating the given side lengths using the Triangle Inequality Theorem, only the group of side measures 2, 7, and 6 will form a triangle.