Triangle Inequality Theorem

Which of the following sets of side lengths can form a triangle?

• 8, 17, 24

• 3, 3, 7

• 6, 6, 12

• 5, 5, 10

If two sides of a triangle are 14 and 22, what is the possible range for the third side?

• Greater than 8 and less than 22

• Greater than 8 and less than 36

• Greater than 14 and less than 22

• Greater than 22 and less than 36

Given two sides of a triangle are 31 and 28, what is the smallest possible length for the third side?

• 28

• 59

• 31

• 3

Which of the following sets of side lengths cannot form a triangle?

• 5, 6, 9

• 14, 16, 28

• 8, 15, 21

• 7, 8, 15

If a triangle has side lengths of 15 and 24, which of the following could be the third side?

• 45

• 39

• 20

• 9