Triangle Inequalities Theorem

Which of the following lists a few possible 3rd side lengths for a triangle with sides 25cm and 15cm?

• 10, 12, 15, 20, 30, 40

• 12, 16, 20, 33, 35, 37, 41

• 11, 15, 18, 20, 32, 33, 39

• 3, 5, 7, 8, 41, 42, 45

What is the range of the possible values for the 3rd side of a triangle with sides 8cm and 20cm?

• $x<12\ and\ x>28$

• $12<x<28$

• 12-28

• $12>x>28$

Which one lists the sides in order from least to greatest?

• $\overline{XY},\ \overline{YZ},\ \overline{XZ}$

• $\angle X,\angle Y,\ and\ \angle Z$

• $\overline{YZ},\ \overline{XZ},\ \overline{XY}$

• $\overline{XZ},\ \overline{YZ},\ \overline{XY}$

Tags

CCSS.HSG.CO.C.10

Which one lists the angles in order from least to greatest?

• Angles: Q, M, P

• Angles: P, M, Q

• Angles: P, Q, M

• MP, PQ, MQ

Tags

CCSS.HSG.CO.C.10

Is it possible to construct a triangle with sides 7cm, 7cm, 10cm?

• Isosceles

• Sometimes

• No

• Yes

Tags

CCSS.7.G.A.2

Is it possible to construct a triangle with sides 4cm, 4cm, 8cm?

• Yes

• No

• Sometimes

• Only when the sides do not equal

Tags

CCSS.7.G.A.2

Which one of these can't be the side lengths of a triangle?

• 9, 9, 17

• 1, 1, 1

• 10, 10, 20

• 3, 4, 6

Tags

CCSS.7.G.A.2

Can the sides of a triangle have lengths 3, 8, 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

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

Tags

CCSS.HSG.CO.C.10