Triangle Inequality Theorem

If a triangle has sides that are 8 and 4, which of these are possible values for the third side?

Groups:

(a) Does NOT make a trangle

,

(b) Does make a triangle

• 10

• 8

• 2

• 11

• 9

• 1

• 13

• 5

• 14

• 7

• 4

• 3

• 6

• 12

Which sets of values can make a triangle?

Groups:

(a) Makes a Triangle

,

(b) Does NOT Make a Triangle

• 11, 12, 20

• 2, 4, 6

• 10, 15, 28

• 20, 21, 35

• 4, 7, 10

• 5, 6, 12

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

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

What is the range of values for the third side of a triangle if the other two sides are 5 and 8?

(a)  

What is the range of values for the third side of a triangle if the other two sides are 12 and 18?

(a)  

Which set of numbers can be the lengths of the sides of a triangle?

• 5, 9, 15

• 2, 2, 5

• 8, 8, 15

• 3, 4, 8

Tags

CCSS.7.G.A.2

Select the group of numbers that cannot form a triangle.

• 6, 10, 15

• 4, 4, 9

• 5, 5, 5

• 7, 8, 14

Tags

CCSS.7.G.A.2

Which of the following could represent the side lengths of a triangle?

• 3, 6, 9

• 5, 12, 13

• 10, 10, 21

• 1, 2, 4

Tags

CCSS.7.G.A.2

• 5
• 9
• 14
• 3.5
• 27
• 72