Triangle Inequality Theorems

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

Does a triangle with these side lengths exist?
9, 40, 41

• Yes
• No
• I don't know.

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.

1

• x is shorter than 22
• x is longer than 22
• x is shorter than 8
• x is 15

The Triangle Inequality Theorem deals with _______ of a triangle

• angles
• sides

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

• greater than
• less than 
• equal to

The smallest angle would be located where in a triangle?

• Across from the smallest side.
• Across from the largest side
• Cannot tell

Does a triangle with these side lengths exist?
20, 10, 9

• Yes
• No
• I don't know.

2

• x is longer than 8
• x is shorter than 8
• x is longer than 56
• x is 20

Does a triangle with these side lengths exist?
33, 16, 17

• Yes
• No
• I don't know.