Question

Question

Apply 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.

9

1

2

11

Answer 1

7

Answer 2

that was not one of the answers supplied

Answer 3

I apologize for that mistake. The correct answer is:

11

Explanation:
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. In this case, the two given sides are 4 and 6. The sum of these two sides is 10, which means that any potential third side must be less than 10 in order for a triangle to be formed. Among the options given, 11 is the only number that is greater than 10, so it could not be the third side of a triangle with sides measuring 4 and 6.

Answer 4

thank you, but the question was Apply 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)
Responses

9
9

1
1

2
2

11

Answer 5

Among the given options, the third side of the triangle could be 9.

Explanation:
The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, the two given sides are 4 and 6.
4 + 6 = 10
So, for a triangle to be formed, the length of the third side must be less than the sum of the first two sides, which is 10.
Among the options given, 9 is less than 10, so it could be the third side of a triangle with sides measuring 4 and 6.