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?

Question

(1 point) are you sure
Responses

10 in.
10 in.

2 in.
2 in.

1 in.

Answer 1

2 in.

Answer 2

are you sure

Answer 3

Yes, I am sure. 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. In this case, if two sides are 6 in and 8 in, the third side must be greater than the difference of 8 in - 6 in = 2 in and less than the sum of 6 in + 8 in = 14 in. Therefore, the third side could be 2 in.