Triangle Theorems Review

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

• 32, 34, 60

• 28, 30, 58

• 13, 20, 27

• 2, 4, 5

Will these side lengths form a triangle?

• yes

• no

Will these line segments form a triangle?

• yes

• no

Will these three sides form a triangle?

• yes

• no

Does a triangle with these
side lengths exist?
(Don't fall for this one.)
0, 11, 12

• Yes
• No
• I don't know.

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