Ask a New Question
Menu

Question

Identify the side measures that will NOT form a triangle.(1 point)
Responses

2, 2, 1

3, 3, 6

3, 3, 4

2, 2, 2

1 answer

To determine which set of side measures will NOT form a triangle, we can use the Triangle Inequality Theorem. This theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.

Let's analyze each set of side measures:

  1. 2, 2, 1

    • 2 + 2 > 1 (True)
    • 2 + 1 > 2 (True)
    • 2 + 1 > 2 (True)
    • This set can form a triangle.

  2. 3, 3, 6

    • 3 + 3 > 6 (False)
    • 3 + 6 > 3 (True)
    • 3 + 6 > 3 (True)
    • This set cannot form a triangle.

  3. 3, 3, 4

    • 3 + 3 > 4 (True)
    • 3 + 4 > 3 (True)
    • 3 + 4 > 3 (True)
    • This set can form a triangle.

  4. 2, 2, 2

    • 2 + 2 > 2 (True)
    • 2 + 2 > 2 (True)
    • 2 + 2 > 2 (True)
    • This set can form a triangle.

Based on the analysis, the set of side measures 3, 3, 6 will NOT form a triangle.