Triangle Inequality

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

What is a possible third side to a triangle with side lengths of 5 and 5?

• 9
• 10
• 11
• 12

Can the sides of a triangle have lengths 3, 4, and 9?

• Yes
• No

Can the sides of a triangle have lengths 4, 11, and 13?

• Yes
• No

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

• 6

• 7

• 5

• 4

Which set of numbers may represent the lengths of the sides of a triangle?

• {2,5,9}
• {6,6,7}
• {6,4,2}           
• {7,8,1}

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length

• equal to 10

• greater than 10

• less than 10

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?

• 16 inches
• 5 inches
• 32 inches
• 29 inches