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

2
2

1

Answer 1

By the Triangle Inequality, the third side x must satisfy |6−4| < x < 6+4, so 2 < x < 10.

Only 9 is between 2 and 10, so 9 could be the third side.