Geometry Properties of 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

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

The smallest angle would be located where in a triangle?

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

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.

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

Order the sides from least to greatest. 

• DE, VE, DV
• VE, DE, DV
• DV, VE, DE
• DE, DV, VE