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 1 1 9 9
Based on 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.
If the first two sides measure 4 and 6, the third side must be such that:
4 + 6 > x
10 > x
Therefore, the third side must be less than 10 in order to form a triangle.
Out of the options provided, the only valid third side for a triangle with sides measuring 4 and 6 is 9, as 4 + 6 > 9.