Triangle Inequality Theorem

Can the following side measures form a triangle?

3, 5, 5

• Yes

• No

Tags

CCSS.7.G.A.2

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

Tags

CCSS.7.G.A.2

Will these line segments form a triangle?

• yes

• no

Select the measurements that match the sides of a triangle.

• 7, 9, 19
• 7, 12, 1
• 7, 7, 7
• 7, 7, 16

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

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

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

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

• 3 < x < 11

• 4 < x < 7

• 7 < x < 4

• 11 < x < 3