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?
Item 10
Item 11
(1 point)
Item 12
O 10 in.
O 2 in.
O 1 in.
The third side must be greater than the difference of the other two sides and less than the sum of the other two sides.
6 + 8 = 14
8 - 6 = 2
Therefore, the third side must be greater than 2 in and less than 14 in.
Out of the choices given, only "10 in" falls within this range. So, the length of the third side could be 10 in.