Honors Geometry Triangle Inequalities

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

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9
• 12
• 8
• 5

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

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

• Across from the smallest angle
• Across from the largest angle
• Cannot be determined
• Adjacent to the smallest side

Where would the largest angle of a triangle be located?

• Across from the longest side.
• Across from the shortest side
• I need more information to get an answer.

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17
• 12 < x < 29
• 5 < x < 17
• 5 < x < 29

In a triangle, how many total degrees are there?

• 100%
• 180 degrees
• it varies
• 360 degrees