triangle inequalities

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

Can the sides of a triangle have lengths 3, 8, and 9?

• Yes
• No

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9
• 12
• 8
• 5

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

• 6
• 7
• 5
• 4

Where would the largest angle of a triangle be located?

• Across from the longest side.
• Across from the shortest side
• I need more information to get an answer.

Where would the shortest side of a triangle be located?

• Across from the smallest angle in the triangle.
• Across from the largest angle in the triangle?
• Cannot tell.

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17
• 12 < x < 29
• 5 < x < 17
• 5 < x < 29

What is the range of values the third side of the triangle could be?

• A
• B
• C
• D

Can a triangle be formed with sides of

6, 9, and 11?

• Yes

• No

Can a triangle be formed with sides of

9, 12, and 22?

• Yes

• No