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)
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
A) 12 in
10
2
Or 1
Using the Triangle Inequality Theorem, the third side must be less than the sum of the other two sides and greater than their difference.
6 + 8 = 14
8 - 6 = 2
Therefore, the possible lengths for the third side are 2 in, 10 in, or any value between 2 in and 10 in.