Triangle inequality theorem

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

• 32, 34, 60
• 28, 31, 58

• 13, 20, 27
• 2, 4, 5

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

• 4, 4, 4

• 5, 5, 10

• 3, 6, 9

• 5, 7, 11

• 13, 5, 6

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?

• 16 inches
• 5 inches
• 32 inches
• 29 inches

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

• more than 3 but less than 11
• more than 11 but less than 3
• less than 3 but more than 11

side lengths of 4,4,4 form a triangle

• True
• False

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

• 9
• 12
• 8
• 5

Can the sides of a triangle have lengths 4, 7, and 18?

• 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

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

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

• between 8 and 16
• less than 4, greater than 12
• between 4 and 12