Inequalities in Triangles

Determine the largest side of the triangle

• AB
• BC
• AC
• Cannot be determined

Tags

CCSS.HSG.CO.C.10

Determine the smallest side of the triangle

• AB
• BC
• AC
• Cannot be determined

Tags

CCSS.HSG.CO.C.10

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

Tags

CCSS.HSG.CO.C.10

Can the sides of a triangle have lengths 3, 8, and 9?

• Yes
• No

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

What is a possible third side to a triangle with side lengths of 5 and 5?

• 9
• 10
• 11
• 12

Tags

CCSS.7.G.A.2

Which of the following segments can NOT form a triangle?

• 11, 12, 15

• 2, 3, 6

• 1, 15, 15

• 2, 9, 10

Tags

CCSS.7.G.A.2

The lengths of two sides of a triangle are 20 and 35. Describe the lengths possible for the third side.

• 20<x<35

• 0<x<55

• 15<x<55

• 12<x<200

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

13. Given: △RST and RS = 14 in., ST = 10 in., TR = 16 in.

List the interior angles of △RST in order from smallest to largest.

• ∢R < ∢S < ∢T

• ∢S < ∢T < ∢R

• ∢R < ∢T <, ∢S

• ∢T < ∢S < ∢R