Triangle Inequality Theorem

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

Will these line segments form a triangle?

• yes

• no

Will these three sides form a triangle?

• yes

• no

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

• yes
• no

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

There are 2 - you can divide the work up with your partner to figure out which 2 will work

• 4, 4, 4

• 5, 5, 10

• 3, 6, 9

• 5, 7, 11

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