4.2 Triangle Inequalities

Order the sides from least to greatest. 

• DE, VE, DV
• VE, DE, DV
• DV, VE, DE
• DE, DV, VE

Tags

CCSS.HSG.CO.C.10

In ΔUVW, V W = 18, UW = 21, and UV = 9, order the angles from smallest to largest. (draw the triangle to help)

• ∠W, ∠U, ∠V

• ∠W, ∠V, ∠U

• ∠V, ∠U, ∠W

• ∠V, ∠W, ∠U

Tags

CCSS.HSG.CO.C.10

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

• yes
• no
• not enough information

Tags

CCSS.7.G.A.2

Can a triangle be formed with side lengths:

24, 9, 30

• yes

• no

• not enough information

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

Can a triangle be formed with sides of

6, 9, and 11?

• Yes

• No

Tags

CCSS.7.G.A.2

List the angles of the triangle in order from smallest to largest.

Tags

CCSS.HSG.CO.C.10

List the sides of the triangle in order from smallest to largest.

Tags

CCSS.HSG.CO.C.10

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

• Yes
• No
• I don't know.

Tags

CCSS.7.G.A.2