Triangle Inequality Theorem

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

Can the following side measures form a triangle?
  3 ft, 5 ft, 8 ft 

• Yes
• No

Tags

CCSS.7.G.A.2

Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 

• Yes
• No

Tags

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

Will these side lengths form a triangle?

• yes

• no

Will these line segments form a triangle?

• yes

• no

Tags

CCSS.7.G.A.2

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

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

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

Tags

CCSS.7.G.A.2