Triangle Inequality Theorem Quick Check%0D%0A3 of 53 of 5 Items%0D%0A%0D%0AQuestion%0D%0AApply the Triangle Inequality Theorem and determine which option could be the third side of a triangle if the first two sides measure 4 and 6.(1 point)%0D%0AResponses%0D%0A%0D%0A2%0D%0A2%0D%0A%0D%0A1%0D%0A1%0D%0A%0D%0A11%0D%0A11%0D%0A%0D%0A9%0D%0A9

Answer 1

To apply the Triangle Inequality Theorem, 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, the first two sides measure 4 and 6.

So, we need to determine which option is a number that is less than the sum of 4 and 6.

Looking at the options:

- 2 + 4 = 6, so option 2 is valid.
- 2 + 6 = 8, so option 2 is also valid.
- 1 + 4 = 5, so option 1 is not valid.
- 1 + 6 = 7, so option 1 is also not valid.
- 1 + 1 = 2, so option 11 is not valid.
- 1 + 1 = 2, so option 11 is also not valid.
- 4 + 4 = 8, so option 9 is not valid.
- 4 + 4 = 8, so option 9 is also not valid.

Thus, options 2 and 2 are the only valid choices.