Triangle Inequality Theorem

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

Will these three sides form a triangle?

• yes

• no

Will these line segments form a triangle?

• yes

• no

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

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

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

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

• Yes
• No

Tags

CCSS.7.G.A.2

What is the range of values of x for a triangle's third side given side measures of 8 and 15?

• between 8 and 15
• between 7 and 23
• less than 7, greater than 23

What is the range of values of x for a triangle's third side given side measures of 4 and 12?

• between 8 and 16
• less than 4, greater than 12
• between 4 and 12

9. 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