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)
11
1
9
2
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Applying this theorem, the sum of the lengths of the first two sides (4 and 6) is 10.
Therefore, the third side must be less than 10.
Among the options provided, 11 is greater than 10 and would not satisfy the Triangle Inequality Theorem.
Similarly, 9 is also greater than 10 and would not satisfy the theorem.
However, 1 and 2 are both less than 10 and could potentially be the third side of a triangle.
So, the correct option is 1.