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.
1 in.

1 answer

The third side must be less than the sum of the other two sides but greater than the difference of the other two sides.

6 + 8 = 14, so the third side must be less than 14
8 - 6 = 2, so the third side must be greater than 2

Therefore, the only valid option is 10 in.