5.3-5.4Triangle Inequalities

Can the sides of a triangle have lengths 3, 8, and 9?

• Yes
• No

Can the sides of a triangle have lengths 4, 11, and 13?

• Yes
• No

Will these line segments form a triangle?

• yes

• no

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length

• equal to 10

• greater than 10

• less than 10

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

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

• 9
• 12
• 8
• 5

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}

Select the measurements that match the sides of a triangle.

• 7, 9, 19

• 7, 12, 1

• 7, 7, 7

• 7, 7, 16

Which of these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60
• 28, 30, 58
• 13, 20, 27
• 2, 4, 5

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

• between 8 and 15
• between 7 and 23
• less than 7, greater than 23