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

Tags

CCSS.7.G.A.2

Which set of side lengths will form a triangle?

• 3, 6, 12

• 7, 7, 14

• 9, 9, 9

• 13, 6, 7

Tags

CCSS.7.G.A.2

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

Tags

CCSS.7.G.A.2

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

• yes

• no

Tags

CCSS.7.G.A.2

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

• 32, 34, 60

• 28, 30, 58

• 13, 20, 27

• 2, 4, 5

Tags

CCSS.7.G.A.2

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

• Yes

• No

• I don't know.

Tags

CCSS.7.G.A.2

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

Tags

CCSS.7.G.A.2