Triangle Inequalities

Does a triangle with these side lengths exist?
15, 12, 9

• Yes
• No
• I don't know.

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

Determine whether or not the given lengths could form a triangle.

10, 15, 23

• Yes

• No

Answer explanation

10 + 15 > 23

25 > 23

This is a true statement, therefore, these lengths could form a triangle

Tags

CCSS.7.G.A.2

Determine whether or not the given lengths could form a triangle.

4, 5, 10

• Yes

• No

Answer explanation

4 + 5 > 10

9 > 10

This is a false statement, therefore, these lengths could NOT form a triangle

Tags

CCSS.7.G.A.2

Determine whether or not the given lengths could form a triangle.

9, 11, 20

• Yes

• No

Answer explanation

9 + 11 > 20

20 > 20

This is a false statement, therefore, these lengths could NOT form a triangle.

Tags

CCSS.7.G.A.2

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

• 9
• 12
• 8
• 5

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

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

• 9
• 12
• 8
• 5

Can a triangle be formed with side lengths:
10, 12, 22

• yes
• no
• not enough information

Tags

CCSS.7.G.A.2

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

Tags

CCSS.HSG.CO.C.10