Triangle Inequality Review

Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?

• 12 < x < 17

• 12 < x < 29

• 5 < x < 17

• 5 < x < 29

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

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

• Yes

• No

• I don't know.

Tags

CCSS.7.G.A.2

Can the sides of a triangle have lengths 3, 4, and 9?

• Yes

• No

Tags

CCSS.7.G.A.2

Identify the longest side measure.

• AC

• BA

• BC

Tags

CCSS.HSG.CO.C.10

Name the largest angle in this triangle.

• ∠D

• ∠E

• ∠F

Tags

CCSS.HSG.CO.C.10

The longest side of a triangle would be located where on a triangle?

• Across from the smallest angle

• Across from the largest angle

• Cannot tell.

• Adjacent to the smallest side.

Can the following side measures form a triangle?
  4 cm, 7 cm, 10 cm 

• Yes

• No

Tags

CCSS.7.G.A.2

What is the " Triangle Inequality Theorem"? 

• The sum of the smallest and medium sides > the largest side

• The lengths of a triangle's sides are all the same 

• The sum of the largest and medium sides > the smallest side

Could the following lengths make a triangle?

• YES

• NO

Tags

CCSS.7.G.A.2