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 2 2 9 9 1 1 11
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.
In this case, the first two sides measure 4 and 6.
Using the theorem, we can determine that the third side must satisfy the following inequality:
4 + 6 > third side
10 > third side
Out of the provided options, the only one that is less than 10 is 9.
Therefore, the third side of the triangle could be 9.