Question

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

9
9

11
11

1
1

2
2

Answer 1

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.

In this case, if the first two sides are 4 and 6, the sum of those sides is 10. Therefore, the third side must be greater than 2 (10 - 8) and less than 10 (4 + 6).

Therefore, the only option that could be the third side of a triangle with sides measuring 4 and 6 is 9.