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
To determine if a third side can form a triangle with sides measuring 4 and 6, we need to apply the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So for a third side to be possible with sides measuring 4 and 6:
4 + 6 > x
10 > x
Based on the options given, the only third side that could form a triangle with sides measuring 4 and 6 is 9, as 4 + 6 > 9.