Use the Triangle Inequality Theorem (see picture above) to solve this problem.
Two sides of a triangle measure 11 and 3. Identify the side measure that would NOT create a triangle.
(1 point)
Responses
7
7
9
9
12
12
13
The side measure that would NOT create a triangle is 13.
According to the Triangle Inequality Theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, if we have sides measuring 11 and 3, the sum of these two sides is 14, which is greater than 13. However, 13 is greater than the difference between 11 and 3 (8), but it is not greater than the sum (14). Therefore, a side measuring 13 would not be able to create a triangle with sides measuring 11 and 3.