The Triangle Inequality Theorem and Pythagorean

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

Which set of side lengths will form a triangle?

• 3, 6, 12

• 7, 7, 14

• 9, 9, 9

• 13, 6, 7

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

Will these side lengths form a triangle?

• yes

• no

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

• 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 these lengths CANNOT represent the sides of a triangle?

• 32, 34, 60

• 28, 30, 58

• 13, 20, 27

• 2, 4, 5

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

• Yes

• No

• I don't know.

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