Triangle Inequalities

Do the following side lengths form a triangle?
2 inches, 2 inches, 4 inches

• Yes
• No

Tags

CCSS.7.G.A.2

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

• Yes
• No

Tags

CCSS.7.G.A.2

9. 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

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?

• 16 inches
• 5 inches
• 32 inches
• 29 inches

List the side measures in order, shortest to longest.

• QM, QP, MP
• MQ, MP, QP
• MP, MQ, QP

Tags

CCSS.HSG.CO.C.10

Identify the longest side measure.

• AC
• BA
• BC

Tags

CCSS.HSG.CO.C.10

Identify the smallest angle.

• ∠A
• ∠B
• ∠C

Tags

CCSS.HSG.CO.C.10

List the angles in order by measure, smallest to largest.

• ∠B, ∠A, ∠C
• ∠A∠,B, ∠C
• ∠A, ∠C, ∠B

Tags

CCSS.HSG.CO.C.10

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
 $10,7$  

•  $5<x<16$  

•  $4<x<14$  

•  $4<x<17$  

•  $3<x<17$  

Two sides of a triangle have the following measures. Find the range of possible measure for the third side.
 $8,12$  

•  $4<x<16$  

•  $5<x<20$  

•  $4<x<17$  

•  $4<x<20$