Triangle Inequality Theorem and Inequalities in Triangles

Identify the shortest side measure.

• QP
• QM
• MP

Tags

CCSS.HSG.CO.C.10

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 smallest angle.

• ∠A
• ∠B
• ∠C

Tags

CCSS.HSG.CO.C.10

Identify the smallest angle.

• ∠K
• ∠L
• ∠M

Tags

CCSS.HSG.CO.C.10

Identify the largest angle.

• ∠N
• ∠Q
• ∠P

Tags

CCSS.HSG.CO.C.10

Identify the longest side measure.

• LM
• MQ
• LQ

Tags

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 ft, 13 ft

• more than 6 but less than 20
• more than 20 but less than 6
• less than 6 but more than 20

Tags

CCSS.7.G.A.2

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

• more than 3 but less than 11
• more than 11 but less than 3
• less than 3 but more than 11

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

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