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
1
1
2
2
9
9
11
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Using this theorem, we can determine that option 1 (1) could be the third side of a triangle if the first two sides measure 4 and 6. This is because 1 + 4 > 6, and 1 + 6 > 4, but 4 + 6 < 1.
Options 2 (2), 9 (9), and 11 (11) do not satisfy the Triangle Inequality Theorem and cannot be the third side of a triangle with side lengths 4 and 6.