Two sides of a triangle are 6 in and 8 in. Using the Triangle Inequality Theorem (see picture above), which amount could be the length of the third side from the choices given?
(1 point)
Responses

10 in.
10 in.

2 in.
2 in.

1 in.
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.
For this case, if the two known sides are 6 in and 8 in, the sum of those two sides would be 6 + 8 = 14 in.
So, the possible lengths for the third side should be less than 14 in.
Out of the choices given, the only viable option is 10 in.
Therefore, the correct answer would be: 10 in.