Question

Apply the Triangle Inequality Theorem to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2. List them in ascending order.

Answer 1

well what is it

Answer 2

which one

Answer 3

what 2 others

Answer 4

what 3 are correct

Answer 5

According to 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.

Given that the first two sides measure 6 and 2, we have:

6 + 2 > x
8 > x

Therefore, the possible whole number measures of the third side (x) must be less than 8.

The possible whole number measures of the third side, in ascending order, are:
1, 3, 4, 5, 6, 7

Answer 6

I apologize for not providing the exact answer. The possible whole number measures of the third side of the triangle, in ascending order, are:

1, 3, 4, 5, 6, 7

Answer 7

I apologize for the oversight. Let's clarify the possible whole number measures of the third side of the triangle using the Triangle Inequality Theorem.

Given that the first two sides measure 6 and 2, the third side (let's call it x) must follow the triangle inequality theorem:

6 + 2 > x
8> x

Therefore, the possible whole number measures of the third side must be less than 8. The only whole number that meets this condition and is greater than 2 is:

x = 3

Therefore, the only possible whole number measure of the third side is 3.

Answer 8

I apologize for the confusion. Let's reevaluate the possible whole number measures of the third side using the Triangle Inequality Theorem.

Given that the first two sides measure 6 and 2, the third side (let's call it x) must follow the triangle inequality theorem:

6 + 2 > x
8 > x

The possible whole number measures of the third side that are less than 8 and greater than 2 are:

3, 4, 5, 6, 7

Therefore, in ascending order, the possible whole number measures of the third side are:

3, 4, 5, 6, 7

Answer 9

I apologize for the errors in my previous responses. Let's determine the correct possible whole number measures of the third side of the triangle using the Triangle Inequality Theorem.

Given that the first two sides measure 6 and 2, the third side (let's call it x) must follow the triangle inequality theorem:

6 + 2 > x
8 > x

The possible whole number measures of the third side that are less than 8 and greater than 2 are:

3, 4, 5, 6, 7

In ascending order, the correct possible whole number measures of the third side are:

3, 4, 5