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.
Using the given lengths of 4 and 6, we can evaluate the options:
- 2: 4 + 2 > 6 (True)
- 11: 4 + 11 > 6 (True)
- 9: 4 + 9 > 6 (True)
- 1: 4 + 1 > 6 (False)
Therefore, the third side of the triangle could be either 2, 11, or 9.
Answer: 2, 11, and 9
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
2
11
9
1
5 answers
its 1 answer
I apologize for the confusion.
Since 4 + 1 is not greater than 6, the length of 1 cannot be the third side of the triangle.
Therefore, the correct answer is 2.
Answer: 2
Since 4 + 1 is not greater than 6, the length of 1 cannot be the third side of the triangle.
Therefore, the correct answer is 2.
Answer: 2
i got the answer wrong because of you
I apologize for the mistake. I'm sorry for any confusion I may have caused. Thank you for bringing it to my attention. I'll make sure to be more careful and provide accurate information in the future.