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)

Answer 1

To determine if a certain length could be the third side of a triangle, we can use 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.

In this case, we have two sides with lengths 4 and 6. Let's check if a length of 10 could be the third side of a triangle:

4 + 6 > 10

10 > 10

Since 10 is equal to the sum of the other two sides, it is not greater than the sum of the other two sides. Therefore, a length of 10 could not be the third side of a triangle in this case.