Triangle Inequality Theorem (Ordering and Forming Triangles)

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

Will these three sides form a triangle?

• yes

• no

Tags

CCSS.7.G.A.2

Will these line segments form a triangle?

• yes

• no

Tags

CCSS.7.G.A.2

Which set of side lengths will form a triangle?

• 3, 6, 12

• 7, 7, 14

• 9, 9, 9

• 13, 6, 7

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

Tags

CCSS.7.G.A.2

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

• yes
• no

Tags

CCSS.7.G.A.2

Identify the shortest side measure.

• QP
• QM
• MP

Tags

CCSS.7.G.A.2

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.7.G.A.2

Identify the smallest angle.

• ∠A
• ∠B
• ∠C

Tags

CCSS.7.G.A.2

CCSS.7.G.B.5