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) Responses 11 11 2 2 9 9 1 1

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.

In this case, we have two sides measuring 4 and 6.

Let's check which option could be the third side:
1) 4 + 6 > 11 - This is true, so 11 could be the third side of a triangle.
2) 4 + 6 > 2 - This is false, so 2 could not be the third side of a triangle.
3) 4 + 6 > 9 - This is true, so 9 could be the third side of a triangle.
4) 4 + 6 > 1 - This is false, so 1 could not be the third side of a triangle.

Therefore, the third side of a triangle could measure either 11 or 9.