The Triangle Inequality

Does a triangle with these side lengths exist?

15, 12, 9

• Yes

• No

Tags

CCSS.7.G.A.2

Can the sides of a triangle have lengths 3, 8, and 9?

• Yes
• No

Tags

CCSS.7.G.A.2

Can the sides of a triangle have lengths 3, 4, and 9?

• Yes
• No

Tags

CCSS.7.G.A.2

Can the sides of a triangle have lengths 4, 11, and 13?

• Yes
• No

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

Tags

CCSS.7.G.A.2

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

• 6
• 7
• 5
• 4

Tags

CCSS.7.G.A.2

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17
• 12 < x < 29
• 5 < x < 17
• 5 < x < 29

Tags

CCSS.7.EE.B.4

CCSS.7.G.A.2

Which of the following does not represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm
• 5 cm, 2 cm, 5 cm
• 5 cm, 5 cm, 8 cm
• 3 cm, 10 cm, 15 cm

Tags

CCSS.7.G.A.2

Will these line segments form a triangle?

• yes

• no

Tags

CCSS.7.G.A.2

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

Tags

CCSS.7.G.A.2