Honors Geometry Triangle Inequalities

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 Triangle Inequality Theorem deals with _______ of a triangle

• angles
• sides

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

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

• Yes
• No
• I don't know.

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

• Yes
• No
• I don't know.

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

• Yes
• No
• I don't know.

Does a triangle with these side lengths exist?
8.5, 6.5, 13.5

• Yes
• No
• I don't know.

Does a triangle with these side lengths exist?
47, 28, 70

• Yes
• No
• I don't know.

Does a triangle with these side lengths exist?
28, 41, 13

• Yes
• No
• I don't know.