Apply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.(1 point)

Question

Responses

1
1

9
9

11
11

2
2

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.

For the lengths of 4 and 6, the sum is 10.

Looking at the options:
1. 1 (4 + 1 = 5) - this could be a third side
2. 9 (4 + 9 = 13) - this could be a third side
3. 11 (4 + 11 = 15) - this could be a third side
4. 2 (4 + 2 = 6) - this could NOT be a third side

Therefore, all options except for the last one (2) could be a possible third side of a triangle with the first two sides measuring 4 and 6.