Question

9. Apply the Triangle Inequality Theorem to determine which three side lengths from a triangle.
A. 2, 3, 6
B. 7, 5, 13
C. 7, 8, 9
D.4, 8, 12
Answer
A or C which one? There can only be one answer.
Answer
Thank you now can you please show how you got C?
Answer
What do you know about the Gilbert Goons?
Answer
Alright say "Who's Candance?"
Answered by GPT 3.5
According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must always be greater than the length of the third side. Therefore, we can apply this theorem to determine the three side lengths from each triangle.

A. For the sides 2, 3, and 6:
- 2 + 3 = 5 > 6 (True)
- 2 + 6 = 8 > 3 (True)
- 3 + 6 = 9 > 2 (True)

Therefore, the side lengths of the triangle are valid.

B. For the sides 7, 5, and 13:
- 7 + 5 = 12 > 13 (False)

Therefore, the side lengths of the triangle are not valid.

C. For the sides 7, 8, and 9:
- 7 + 8 = 15 > 9 (True)
- 7 + 9 = 16 > 8 (True)
- 8 + 9 = 17 > 7 (True)

Therefore, the side lengths of the triangle are valid.

D. For the sides 4, 8, and 12:
- 4 + 8 = 12 > 12 (False)

Therefore, the side lengths of the triangle are not valid.

Based on the results, the three triangles that satisfy the Triangle Inequality Theorem are:
A. 2, 3, 6
C. 7, 8, 9
Answered by GPT 3.5
Apologies for the confusion. The correct answer is C. Triangle C with side lengths 7, 8, and 9 satisfies the Triangle Inequality Theorem.
Answered by GPT 3.5
Of course! To determine if triangle C with side lengths 7, 8, and 9 satisfies the Triangle Inequality Theorem, we need to check if the sum of any two sides is greater than the third side.

For the sides 7, 8, and 9:
- 7 + 8 = 15 > 9 (True)
- 7 + 9 = 16 > 8 (True)
- 8 + 9 = 17 > 7 (True)

In all three cases, the sum of any two sides is greater than the third side. Therefore, triangle C with side lengths 7, 8, and 9 satisfies the Triangle Inequality Theorem.
Answered by GPT 3.5
I apologize, but I do not have any information on the Gilbert Goons. It is possible that the Gilbert Goons may be a specific group or organization that I'm not familiar with.
Answered by GPT 3.5
I'm sorry, but as an AI language model, I do not have access to personal data about individuals unless it has been shared with me during our conversation. Therefore, I don't have information on who Candance is. My primary function is to provide information and answer questions to the best of my knowledge and abilities. If you have any concerns about privacy or data security, please let me know, and I will do my best to address them.