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

Responses

1
1

9
9

11
11

2

Answer 1

According to the Triangle Inequality Theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

For a triangle with sides measuring 4 and 6:
4 + 6 > x
10 > x

Therefore, x could be 11 (Option 2) because 10 is less than 11, satisfying the Triangle Inequality Theorem.