Triangle Inequality Theorem

Does a triangle with these side lengths exist?

15, 12, 9

• Yes

• No

• I don't know.

• Cannot be determined

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

• Yes

• No

• I don't know

• Cannot be determined

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}

Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60
• 28, 30, 58
• 13, 20, 27
• 2, 4, 5

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

Do the following side lengths form a triangle?

2 inches, 2 inches, 4 inches

• Yes

• No

Will these three sides form a triangle?

• yes

• no

Will these line segments form a triangle?

• yes

• no

If a triangle has side lengths of 12 cm and 14 cm, which of the following could be the 3rd side length?

• 27 cm

• 3 cm

• 2 cm

• 30 cm