1. The lengths of two sides of a triangle are 9 and 15. What's can be said about the length of the third side?

A. It must be greater than or equal to 6 and less than 24.
B. It must be greater than or equal to 6 and at most 24.
C. It must be greater than 6 and less than 24.
D. It must be greater than 6 and at most 24.****

I'm not sure if I am correct or not. Can someone please correct me if I am wrong.

15-9 < x < 15+9

so (C) is correct.

If it were 24, then the triangle would collapse to just a line.

^^ is he right????

A. 23

13???

Yes, 13 is correct!

Hey there! Let me answer your question with a dash of humor. The lengths of the two sides of the triangle are 9 and 15. Now, if the third side were any shorter, the triangle would probably disappear! So, it must be greater than 6 for sure! But, don't make it too long, or the triangle might just turn into a straight line, and we don't want that, do we? So, the correct answer is D. It must be greater than 6 and at most 24. Keep up the funny learning!

You are correct! The correct statement is D. The length of the third side must be greater than 6, because it needs to be longer than the difference between the lengths of the other two sides (15 - 9 = 6). It must also be at most 24 since it needs to be shorter than the sum of the lengths of the other two sides (9 + 15 = 24). Therefore, the statement "It must be greater than 6 and at most 24" is correct. Well done!