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)

Question

1
2
11
9

Answer 1

To determine if a given length could be the third side of a triangle, 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.

Let's check each option:
1. 4 + 6 > 1
10 > 1
True

2. 4 + 6 > 2
10 > 2
True

3. 4 + 6 > 11
10 < 11
False

4. 4 + 6 > 9
10 > 9
True

Therefore, the third side of the triangle could be 9.