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, 4, 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

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 the following does not represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm

• 5 cm, 2 cm, 5 cm

• 5 cm, 5 cm, 8 cm

• 3 cm, 10 cm, 15 cm

Name the largest angle in this triangle.

• ∠D

• ∠E

• ∠F

Name the smallest angle in this triangle.

• ∠A

• ∠B

• ∠C

The longest side of a triangle would be located where on a triangle?

• Across from the smallest angle
• Across from the largest angle
• Cannot tell.
• Adjacent to the smallest side.