Triangle Inequality Pop Quiz

Can the sides of a triangle have lengths 4, 11, and 13? How do you know?

• Yes, because 4 + 11 > 13

• No, because 4 + 11 > 13

• Yes, because 4 + 11 < 13

• No, because 4 + 11 < 13

Can the sides of a triangle have lengths 9, 4, and 3?

• Yes, because 9 + 4 > 3

• No, because 4 + 3 < 9

• Yes, because 4 + 3 < 9

• No, because 9 + 3 > 4

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

• 9

• 12

• 8

• 18

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

• 9

• 10

• 11

• 12

Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?

• 6

• 7.99

• 5

• 4

Name the largest angle in this triangle.

• ∠D
• ∠E
• ∠F

Tags

CCSS.HSG.CO.C.10

Name the smallest angle in this triangle.

• ∠A
• ∠B
• ∠C

Tags

CCSS.HSG.CO.C.10

Two sides of a triangle have side lengths of 10 and 4. What is the list of all possible whole number lengths for the third side?

• 4, 5, 6, 7, 8, 9, 10

• 5, 6, 7, 8, 9, 10

• 6, 7, 8, 9, 10, 11, 12, 13, 14

• 7, 8, 9, 10, 11, 12, 13

Identify the shortest side measure.

• QP
• QM
• MP

Tags

CCSS.HSG.CO.C.10

In triangle ABC, m<A = 85, m<B = 53. What is the shortest side of the triangle?

• not enough information

• AB

• BC

• AC