Triangle Inequalities

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

Tags

CCSS.HSG.CO.C.10

What is a possible third side to a triangle with side lengths of 13 and 4?

• 9
• 12
• 8
• 5

Tags

CCSS.7.G.A.2

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

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.

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.C.6

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

What is the range of values the third side of the triangle could be?

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the range of possible values for x?

• 2.8 < x < 5.4

• 1.3 < x < 4.1

• 2.8 < x < 4.1

• 1.3 < x < 5.4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Order the sides from least to greatest.

• AB, BC, CA

• BC, AB, CA

• AB, AC, BC

• CA, AB, BC

Tags

CCSS.HSG.CO.C.10

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

• 10.5

• 15

• 21

• 28

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11