Triangle Inequality Theorem

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

Will these three sides form a triangle?

• yes

• no

Will these line segments form a triangle?

• yes

• no

Which set of side lengths will form a triangle?

• 3, 6, 12

• 7, 7, 14

• 9, 9, 9

• 13, 6, 7

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

• more than 6 but less than 20
• more than 20 but less than 6
• less than 6 but more than 20

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

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

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

• yes
• no

What type of angle is shown?

• acute

• obtuse

• right

• straight

What type of angle is this? 

• acute
• obtuse
• right
• big