Triangle Inequality Theorem

Identify whether the length measurements form a triangle.

Groups:

(a) yes, form a triangle

,

(b) no, don't form a triangle

• 6, 14, 6

• 7, 8, 5

• 1, 2, 3

• 8, 6, 6

• 80, 50, 20

Tags

CCSS.7.G.A.2

Which of the following side measures make a triangle?

• 7, 9, 5

• 1, 3, 7

• 5, 8, 1

• 10, 10, 21

Tags

CCSS.7.G.A.2

Which of the following measures DO NOT form a triangle?

• 1, 1, 1

• 7, 7, 7

• 8, 10, 17

• 3, 4, 8

Tags

CCSS.7.G.A.2

Which of the following measures DO NOT make a triangle?

• 4, 5, 6

• 5, 5, 11

• 10, 10, 1

• 42, 21, 22

Tags

CCSS.7.G.A.2

Which of the following measures form a triangle?

• 1, 1, 3

• 5, 5, 12

• 7, 9, 16

• 6, 5, 6

Tags

CCSS.7.G.A.2

Which of the following side measures form a triangle?

• 50, 50, 102

• 25, 26, 52

• 45, 40, 75

• 21, 20, 43

Tags

CCSS.7.G.A.2

Do the following measurements form a triangle? 5 miles, 6 miles, 7 miles

• Yes

• No

• Not enough information to tell

• Triangles don't even exist

Tags

CCSS.7.G.A.2

Determine if the 3 numbers can be measures of the sides of a triangle. 4, 16, 19

• Yes

• No

Tags

CCSS.7.G.A.2

Determine if the 3 numbers can be measures of the sides of a triangle. 9, 11, 20

• Yes

• No

Tags

CCSS.7.G.A.2

Order the angles according to the measure of the side length

Groups:

(a) smallest side

,

(b) middle side

,

(c) longest side

• side AB

• side AC

• side BC

Tags

CCSS.HSG.CO.C.10