Triangle Inequality

Is it possible to form a triangle with the given side lengths?

3, 4, 6

• Yes

• No

Which of the following side lengths do not make a triangle?

• 3, 4, 5

• 5, 7, 14

• 3, 4, 6

• 6, 9, 10

Do the following side lengths make a triangle?

8, 8, 8

• Yes

• No

Which of the following sets of side lengths will make a triangle? Choose all that apply.

• 2, 4, 5

• 3, 7, 8

• 4, 5, 9

• 5, 6, 10

Which of the following side lengths does not make a triangle?

• 2, 3, 4

• 6, 8, 9

• 1.5, 2.5, 3

• 4, 8, 16

Which is a range of possible measures for the third side of a triangle with two sides that are 1 cm and 6 cm

Which is a possible measure for the third side of a triangle with two sides 12 yd and 18 yd. Choose all that apply.

• 25 yd

• 5 yd

• 32 yd

• 30 yd

• 20 yd

Which is a range of possible measures for the third side of a triangle with two sides that are 8 m and 82 m

Allison has 4 lengths of wood from which she plans to make a border for a triangular-shaped herb garden. The lengths of the wood borders are 8 inches, 10 inches, 12 inches, and 18 inches. How many different triangular borders can Allison make?

• 1

• 2

• 3

• 4

Which statement is true?