Triangle Inequality Theorems

Can these lengths form a triangle?

10, 12, 17

• yes

• no

Tags

CCSS.7.G.A.2

Can these lengths form a triangle?

6, 4, 12

• yes

• no

Tags

CCSS.7.G.A.2

Biggest angle?

• D

• E

• F

Tags

CCSS.HSG.CO.C.10

Smallest side length?

• JK

• KL

• LJ

Tags

CCSS.HSG.CO.C.10

Triangle side lengths, possible?

1, 4, 6

• yes

• no

Tags

CCSS.7.G.A.2

Possible side lengths of the third side of the triangle?

21 yds and 16 yds

• 6<x<38

• 4<x<36

• 5<x<37

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 

• 45°
• 90°
• 180°
• 360°

Tags

CCSS.8.G.A.5

The Triangle Sum Theorem deals with _______ of a triangle

• angles
• sides

Tags

CCSS.8.G.A.5

The Triangle Inequality Theorem states the sum of the lengths of any two sides of a triangle is ________________ the length of the third side.

• greater than
• less than 
• equal to

The Triangle Inequality Theorem deals with _______ of a triangle

• angles
• sides