Real Life Triangle Inequality Theorem

Which of the following sets of side lengths could produce a triangle. SELECT ALL THAT APPLY.

• 4, 4, 4

• 5, 5, 10

• 3, 6, 9

• 5, 7, 11

• 13, 5, 6

Tags

CCSS.7.G.A.2

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches.  Which of the following could be the length of side AC?

• 16 inches

• 5 inches

• 32 inches

• 29 inches

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

• 9

• 12

• 8

• 5

Can the sides of a triangle have lengths 4, 7, and 18?

• Yes

• No

Tags

CCSS.7.G.A.2

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length

• equal to 10

• greater than 10

• less than 10

Which of the following does not represent the lengths of the sides of a triangle?

• 2 cm, 6 cm, 7 cm

• 5 cm, 2 cm, 5 cm

• 5 cm, 5 cm, 8 cm

• 3 cm, 10 cm, 15 cm

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

• yes

• no

Tags

CCSS.7.G.A.2

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

• any length

• equal to 10

• greater than 10

• less than 10